Conference program. Sunday, June 24 Arrival Day. Monday, June 25 First Day of the Conference
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1 Conference program Sunday, June 24 Arrival Day 16:0020:00 Conference registration at Hotel Eger (Szálloda str. 1) Monday, June 25 First Day of the Conference 8:309:15 9:159:30 Conference registration, pick up packets and say hello Welcome and Announcements 9:3012:00 9:309:50 Monday Morning Session moderated by William Webb C. Cooper: Identities in the spirit of Ramanujan's amazing identity 9:5010:10 C. K. Cook, M. R. Bacon: Some identities for Jacobsthal and Jacobsthal-Lucas Numbers and higher order Jacobsthal and Jacobsthal-Lucas Numbers 10:1010:30 10:3011:00 11:0011:20 11:2011:40 11:4012:00 A. G. Shannon, C. K. Cook: Some aspects of Fibonacci polynomial congruences A. Bagdasaryan: Several identities and congruences for Bernoulli numbers and polynomials L. Somer, M. K íºek: Power digraphs modulo n are symmetric of order M if and only if M is square free L. Szalay: Diophantine equations with binary recurrences associated to Brocard-Ramanujan problem 12:0014:00 14:0017:10 14:0014:20 14:2014:40 14:4015:00 15:0015:20 15:2015:50 Monday Afternoon Session moderated by Peter Anderson H. Belbachir, A. Belkhir: Tiling approach to obtain identities for Fibonacci and Lucas numbers B. Balof: Restricted tilings, coordination sequences and bijections A. O. Munagi: Primary classes of compositions of numbers F. Mátyás: The contribution of Professor Péter Kiss to the theory of linear recurrences 1
2 15:5016:10 16:1016:30 16:3016:50 16:5017:10 J. C. Turner, W. J. Rogers: A representation of the natural numbers by means of cycle-numbers, with some consequences in number theory J. Siurys: A linear recurrence sequence of composite numbers E. Kiliç: Generalizing two curious divisibility properties E. Kiliç, T. Arkan: Some further results on the sums of reciprocals of terms of a order-k recurring sequence 19:00 Evening program Wine and cheese reception 2
3 9:0011:50 9:009:20 Tuesday, June 26 Second Day of the Conference Tuesday Morning Session moderated by Andrej Dujella W. Webb: Recurrence equations which depend on congruence conditions 9:209:40 T. Komatsu, F. Luca: Some relationships between poly-cauchy numbers and poly-bernoulli numbers 9:4010:00 P. T. Young: On the roots of the degenerate Bernoulli numbers 10:0010:20 R. Keskn, O. Karaatl: Integral points on the elliptic curves 10y 2 = 5x 3 3x 2 and 10y 2 = 5x 3 + 3x 8 10:2010:50 10:5011:10 11:1011:30 11:3011:50 M. Bicknell-Johnson, C. P. Spears: The golden ratio in classical maya architecture H. Harborth: On h-perfect numbers G. Nyul: Stirling numbers of the second kind and Bell numbers for graphs 11:5012:00 12:0013:30 13:3016:40 13:3013:50 13:5014:10 14:1014:30 14:3014:50 14:5015:20 15:2015:40 15:4016:00 16:0016:20 16:2016:40 Conference photo Tuesday Afternoon Session moderated by Marjorie Bicknell-Johnson A. Dujella: On Hall's conjecture and related polynomial Pell's equation V. Petri evi : Householder's approximants and continued fraction expansion of quadratic irrationals A. Dujella, T. Pejkovi : Root separation for reducible monic quartics K. Ozeki: On Aczél-Haruki functional equations C. Mongoven: Musical composition with multiple Fibonacci-related sequences N. Irmak, L. Szalay: On k-periodic linear recurrences T. Lengyel: On divisibility properties of some dierences of Motzkin numbers C. Kimberling: Fusion, Fission and Factors 3
4 Wednesday, June 27 Third Day of the Conference 9:0012:50 9:0010:00 10:0010:30 10:3010:50 10:5011:10 11:1011:30 11:3011:50 11:5014:00 14:0015:30 Wednesday Morning Session Moderated by László Szalay N. J. A. Sloane: The On-Line Encyclopedia of Integer Sequences (Edouard Lucas Invited Lecture) P. G. Anderson, L. Ericksen: (p, k)-pell Zeckendorf arrays, I: difference patterns L. Ericksen, P. G. Anderson: (p, k)-pell Zeckendorf arrays, II: congruence residues, periodicities and Beatty sequences A. Bege, Z. Kátai: Sierpinski-like triangle-patterns in Fibonomial triangles C. Ballot: More on Lucas sequences and cousin sequences Wednesday Afternoon: Problem Session moderated by Clark Kimberling 17:00 Sightseeing 19:00 Conference dinner in the castle 4
5 9:0011:40 9:009:30 9:309:50 Thursday, June 28 Fourth Day of the Conference Thursday Morning Session moderated by Pante St nic A. Bérczes: Arithmetic and geometric progressions in the solution set of Diophantine equations (invited speaker) S. D. Alvarado, A. Dujella, F. Luca: Balancing with Fibonacci numbers 9:5010:10 J. J. Bravo, F. Luca: Coincidences in generalized Fibonacci sequences 10:1010:40 10:4011:00 11:0011:20 11:2011:40 K. Broughan, S. Guzman, F. Luca: Perfect repdigits M. C. Firengiz, D. Tasci, N. Tuglu: Some identities for Fibonacci and incomplete Fibonacci p-numbers via symmetric and Euler- Siedel algorithms J. J. Alba, F. Luca: On the positive integers n satisfying the equation F n = x 2 + ny 2 11:4013:30 13:3014:50 13:3013:50 Thursday Early Afternoon Session moderated by Florian Luca F. Luca, P. St nic, A. Yalçiner: When do the Fibonacci invertible classes modulo M form a subgroup? 13:5014:10 L. Hajdu, T. Kovács, A. Peth, M. Pohst: On an optimization problem for lattices 14:1014:30 14:3014:50 T. Kurosawa, Y. Tachiya, T. Tanaka: Algebraic relations with the innite products generated by Fibonacci numbers F. Luca, Y. Tachiya: Arithmetical properties of innite products generated by Fibonacci and Lucas numbers 14:5015:20 15:2017:00 15:2015:40 15:4016:00 Thursday Late Afternoon Session Section A moderated by Ákos Pintér P. Sªanina: Generalizations of Fibonacci polynomials and free linear groups F. Luca, V. J. Mejía: On perfect numbers which are ratios of two Fibonacci numbers 5
6 16:0016:20 16:2016:40 16:4017:00 Gy. Péter, T. Kovács, N. Varga: On some polynomial values of repdigit numbers I. Pink: On the Diophantine equation x 2 + d 2l+1 = y n M. Szikszai, L. Hajdu: On the GCD-s of consecutive terms of elliptic divisibility sequences 15:2017:00 15:2015:40 Thursday Late Afternoon Session Section B moderated by Emrah Kilic Z. Cerin: Identities for Fibonacci polynomials 15:4016:00 R. Wituªa, E. Hetmaniok, D. Sªota: Some application of Ma, Cauchy and Ferrers-Jackson polynomials 16:0016:20 R. Wituªa, E. Hetmaniok, D. Sªota: Sums of the powers of any order roots taken from the roots of a given polynomial 16:2016:40 R. Wituªa, D. Sªota, E. Hetmaniok: Bridges between dierent known integer sequences 16:4017:00 R. Wituªa, E. Hetmaniok, K. Kaczmarek: Jordan numbers, Stirling numbers and sums of the powers of consecutive positive integers 6
7 9:0011:50 9:009:20 9:209:40 Friday, June 29 Fifth Day of the Conference Friday Morning Session moderated by Curtis Cooper C. N. Phadte, S. P. Pethe: On sequences satisfying second order non-homogeneous recurrence relations A. Dil: Transformation formulas and Fibonacci numbers 9:4010:00 A. Egri-Nagy: On transformation semigroups associated to Fibonacci words 10:0010:20 10:2010:50 10:5011:10 11:1011:30 11:3011:50 D. Terr: Fibonacci-Pythagorean triple families A. Bagdasaryan: Compositions, partitions, their generating functions and applications C. Pita: Sums of powers of Fibonacci and Lucas polynomials in terms of Fibopolynomials T. Barrale, R. Hendel, M. Sluys: The Tojaaldi sequence conjectures 11:5013:30 13:3016:20 13:3013:50 Friday Afternoon Session moderated by Hacène Belbachir M. Cenkci: Some convolution identities for Bernoulli and Euler numbers 13:5014:10 G. Gelatti: The Phi quadratic formula, the golden gnomon of 1/4, and cubic identities in Fibonacci-Lucas numbers 14:1014:30 14:3014:50 14:5015:20 15:2015:40 15:4016:00 16:0016:20 P. Olajos: About balancing numbers T. Szakács: Multiplying balancing numbers A. Bazsó, D. Kreso, F. Luca, Á. Pintér: On diophantine equations involving power sums and products of consecutive terms in arithmetic progression T. Juhász: Group algebras and Russian roulette K. Liptai: Survey on balancing numbers 7
8 Saturday, June 30 9:00 Excursion to Szilvásvárad 8
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