A binomial representation of the 3x + 1 problem
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Displaying 1 – 20 of 245
A combinatorial interpretation for a super-Catalan recurrence.
Callan, David (2005)
Journal of Integer Sequences [electronic only]
A combinatorial interpretation of the eigensequence for composition.
Callan, David (2006)
Journal of Integer Sequences [electronic only]
A combinatorial proof of Sun's “curious” identity.
Callan, David (2004)
Integers
A common generating function for Catalan numbers and other integer sequences.
Cossali, G.E. (2003)
Journal of Integer Sequences [electronic only]
A congruence for products of binomial coefficients modulo a composite.
Loveless, Andrew D. (2007)
Integers
A congruence involving the quotients of Euler and its applications (I)
Tianxin Cai (2002)
Acta Arithmetica
A congruence involving the quotients of Euler and its applications (II)
T. X. Cai, X. D. Fu, X. Zhou (2007)
Acta Arithmetica
A congruential identity and the 2-adic order of lacunary sums of binomial coefficients.
Tollisen, Gregory, Lengyel, Tamás (2004)
Integers
A curious identity involving binomial coefficients.
Sun, Zhiwei (2002)
Integers
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
Nowak, Grzegorz (2011)
Abstract and Applied Analysis
A different -analogue of Euler numbers. (Un autre -analogue des nombres d'Euler.)
Han, G.-N., Randrianarivony, A., Zeng, J. (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
A further Extension of a result of Mordell's.
J.CH. SWAMY, N. VENKATESWARA RAO (1961)
Mathematische Annalen
A Generalization of Functions !n and n!
Zoran Šami (1996)
Publications de l'Institut Mathématique
A generalization of Pascal’s triangle using powers of base numbers
Gábor Kallós (2006)
Annales mathématiques Blaise Pascal
In this paper we generalize the Pascal triangle and examine the connections among the generalized triangles and powering integers respectively polynomials. We emphasize the relationship between the new triangles and the Pascal pyramids, moreover we present connections with the binomial and multinomial theorems.
A generating functions proof of a curious identity.
Panholzer, Alois, Prodinger, Helmut (2002)
Integers
A new kind of Diophantine equations
Binzhou Xia, Tianxin Cai (2011)
Acta Arithmetica
A note on Boolean lattices and Farey sequences.
Matveev, Andrey O. (2007)
Integers
A note on nested sums.
Butler, Steve, Karasik, Pavel (2010)
Journal of Integer Sequences [electronic only]
A note on Nörlund-type twisted -Euler polynomials and numbers of higher order associated with fermionic invariant -integrals.
Jang, Leechae (2010)
Journal of Inequalities and Applications [electronic only]
Currently displaying 1 – 20 of 245
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