On the number of prime divisors of a binomial coefficient.
On the order of lacunary sums of binomial coefficients.
On the q-log-Concavity of Gaussian Binomial Coefficients.
On two combinatorial identities
On unimodality problems in Pascal's triangle.
On useful schema in survival analysis after heart attack
Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers
One-dimensional game of life and its growth functions.
p-adic valuations of some sums of multinomial coefficients
Parity theorems for statistics on lattice paths and Laguerre configurations.
Partial Bell polynomials and inverse relations.
Pascal's triangle (mod 9)
Permutations avoiding an increasing number of length-increasing forbidden subsequences.
Pilesize dynamic one-pile Nim and Beatty's theorem.
Playing with some identities of Andrews.
Polynomial analogues of Ramanujan congruences for Han's hooklength formula
This article considers the eta power . It is proved that the coefficients of in this expression, as polynomials in b, exhibit equidistribution of the coefficients in the nonzero residue classes mod 5 when n = 5j+4. Other symmetries, as well as symmetries for other primes and prime powers, are proved, and some open questions are raised.
Polynomial extension of Fleck's congruence
Polynomials of multipartitional type and inverse relations
Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.
Powers of a matrix and combinatorial identities.
Prime divisors of -binomial coefficients
Prime factors of binomial coefficients and related problems