Several generating functions for second-order recurrence sequences.
Several -series identities from the Euler expansions of and
In this paper, we first give several operator identities which extend the results of Chen and Liu, then make use of them to two -series identities obtained by the Euler expansions of and . Several -series identities are obtained involving a -series identity in Ramanujan’s Lost Notebook.
Shadows of colored complexes.
Shape-Wilf-ordering on permutations of length 3.
Shift-induced dynamical systems on partitions and compositions.
Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type.
Short generating functions for some semigroup algebras.
Shuffle-invariant total orders.
Signed words and permutations. II: The Euler-Mahonian polynomials.
Signed words and permutations. III: The MacMahon Verfahren.
Simultaneous generation of Koecher and Almkvist-Granville's Apéry-like formulae.
Simultaneous maj statistics.
Six little squares and how their numbers grow.
Solitaire clobber as an optimization problem on words.
Solution of a combinatorially formulated monodromy problem of Eisenbud and Harris
Solution to a combinatorial puzzle arising from Mayer's theory of cluster integrals.
Solving some problems of advanced analytical nature posed in the SIAM Review. II.
Some algebraic aspects of Morse code sequences.
Some applications of transform which map derivatives into generalized differences
Some arithmetic properties of overpartition -tuples.