Volume 194, (2009)

Research Article

Representations using negatively subscripted Fibonacci and Tribonacci numbers with applications

Anderson, Peter G.; Bicknell-Johnson, Marjorie

Congr. Numer. 194, 23-38 (2009).

Research Article

A weak generalization of ordinary Lucas sequences involving the sequence {AN+BN+CN}N≥0

Ballot, Christian

Congr. Numer. 194, 39-44 (2009).

Research Article

Recounting the sums of cubes of Fibonacci numbers

Benjamin, Arthur T.; Carnes, Timothy A.; Cloitre, Benoit

Congr. Numer. 194, 45-51 (2009).

Research Article

When does FLm divide Fn? A combinatorial solution

Benjamin, Arthur T.; Rouse, Jeremy A.

Congr. Numer. 194, 53-58 (2009).

Research Article

Bounds for second order recurrences in terms of maximal products over integer partitions

Berenhaut, Kenneth S.; Morton, Daniel C.; Fan, Ying Wai

Congr. Numer. 194, 59-66 (2009).

Research Article

A new characterization of the Fibonacci word

Berthé, V.; Brlek, S.; Choquette, P.

Congr. Numer. 194, 67-76 (2009).

Research Article

Sums of consecutive factorials in the Fibonacci sequence

Bollman, Mark; Grossman, George

Congr. Numer. 194, 77-83 (2009).

Research Article

The least period of the ratio sequence

Brison, Owen J.; Nogueira, J. Eurico

Congr. Numer. 194, 85-89 (2009).

Research Article

A simple proof of Lerch’s formula

Brown, Tom C.; Maňuch, Ján

Congr. Numer. 194, 91-93 (2009).

Research Article

The Fibonacci lengths of binary polyhedral groups and related groups

Campbell, C. M.; Campbell, P. P.

Congr. Numer. 194, 95-102 (2009).

Research Article

On sums of squares and products of odd and even terms of the Lucas sequence

Čerin, Zvonko

Congr. Numer. 194, 103-107 (2009).

Research Article

Golden tuple products

Ericksen, Larry

Congr. Numer. 194, 109-121 (2009).

Research Article

On proofs of certain combinatorial identities

Grossman, George; Tefera, Akalu; Zeleke, Aklilu

Congr. Numer. 194, 123-128 (2009).

Research Article

Solutions to xyz=x+y+z=1 in quintic number rings

Grundman, H. G.; Hall-Seelig, L. L.

Congr. Numer. 194, 129-135 (2009).

Research Article

Extension of a theorem of Somer to the companion Lucas sequences

Jaroma, John H.

Congr. Numer. 194, 137-140 (2009).

Research Article

Binary words with restricted repetitions and associated compositions of integers

Kimberling, Clark

Congr. Numer. 194, 141-151 (2009).

Research Article

The Wythoff difference array

Kimberling, Clark

Congr. Numer. 194, 153-158 (2009).

Research Article

A representation of recurrent sequences by previous terms

Latushkin, Yaroslav; Ushakov, Vladimir

Congr. Numer. 194, 159-166 (2009).

Research Article

On calculating the Sprague-Grundy function for the game Euclid

Lengyel, Tamás

Congr. Numer. 194, 167-172 (2009).

Research Article

A remark on a question of Rotkiewicz

Luca, Florian; Somer, Lawrence

Congr. Numer. 194, 173-176 (2009).

Research Article

Fibonacci numbers of the form pa±pb

Luca, Florian; Stănică, Pantelimon

Congr. Numer. 194, 177-183 (2009).

Research Article

Some fascinating properties of balancing numbers

Panda, G. K.

Congr. Numer. 194, 185-189 (2009).

Research Article

On pseudoprimes of the form an−a

Paszkiewicz, A.; Rotkiewicz, A.

Congr. Numer. 194, 191-197 (2009).

Research Article

Fibonacci-like sequences of Apollonian circle packings

Ratliff, Michael I.; McShane, Janet M.

Congr. Numer. 194, 199-206 (2009).

Research Article

On the number of quadratic non-residues that are not primitive roots (mod p)

Robbins, Neville

Congr. Numer. 194, 207-211 (2009).

Research Article

Generalization of a theorem of Jarden

Somer, Lawrence

Congr. Numer. 194, 213-217 (2009).

Research Article

Period patterns of certain kth-order linear recurrences over a finite field

Somer, Lawrence

Congr. Numer. 194, 219-224 (2009).

Research Article

Fibonacci digraph and its entropy

Tajima, Ippei; Horibe, Yasuichi

Congr. Numer. 194, 225-232 (2009).

Research Article

Fibonacci tracks in quadratic fields

Turner, John C.

Congr. Numer. 194, 233-242 (2009).

Research Article

An algorithm for proving arbitrary identities involving linear recurrence sequences

Webb, William A.

Congr. Numer. 194, 243-250 (2009).

Research Article

Multivariable recurrences with constant coefficients

Webb, William A.

Congr. Numer. 194, 251-255 (2009).

Research Article

Combinatorial chessboard tilings

Webb, William A.; Criddle, Nicholas D.; DeTemple, Duane W.

Congr. Numer. 194, 257-262 (2009).

Research Article

A Fibonacci-counting proof begged by Benjamin and Quinn

Zeilberger, Doron

Congr. Numer. 194, 263-264 (2009).

Research Article

Applications of a determinant F-L identity

Zhou, Chizhong; Howard, Frederic T.

Congr. Numer. 194, 265-275 (2009).

Research Article

Sums of powers of generalized Fibonacci numbers

Zhou, Chizhong; Howard, Fredric T.

Congr. Numer. 194, 277-287 (2009).

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