AbstractThe recurrence for sums of powers of binomial coefficients is considered and a lower bound for the minimal length of the recurrence is obtained by using the properties of congruence.Video abstractFor a video summary of this paper, please visit http://www.youtube.com/watch?v=jwy6B4aYR-Q
AbstractWe derive an upper bound for the minimal length of a linear recurrence satisfied by a sequen...
We investigate when the sequence of binomial coefficients binom(k,i) modulo a prime p, for a fixed p...
AbstractWe investigate when the sequence of binomial coefficients (ki) modulo a prime p, for a fixed...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
AbstractRecently, interest has been sparked in recurrences for sums of powers of binomial coefficien...
AbstractDefine Ar(n)=∑nk=-n(-1)k(2nn+k)r(r=2,3,...). An elementary method is given for finding a rec...
AbstractDefine S(r)n=∑nk=0(nk)r(r=1,2,…). An elementary method is given for finding a recurrence for...
Some results and conjectures about recurrence relations for certain sequences of binomial sums
We explicitly determine the Ap\'ery limits for the sums of powers of binomial coefficients. As an ap...
International audienceWe study recurrence, and multiple recurrence, properties along the $k$-th powe...
Abstract. We study recurrence, and multiple recurrence, properties along the k-th powers of a given ...
Modifying an idea of E. Brietzke we give simple proofs for the recurrence relations of some sequence...
AbstractThe recurrence for sums of powers of binomial coefficients is considered and a lower bound f...
AbstractWe derive an upper bound for the minimal length of a linear recurrence satisfied by a sequen...
We investigate when the sequence of binomial coefficients binom(k,i) modulo a prime p, for a fixed p...
AbstractWe investigate when the sequence of binomial coefficients (ki) modulo a prime p, for a fixed...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
A lower bound for the minimal length of the polynomial recurrence of a binomial sum is obtained. 200...
AbstractRecently, interest has been sparked in recurrences for sums of powers of binomial coefficien...
AbstractDefine Ar(n)=∑nk=-n(-1)k(2nn+k)r(r=2,3,...). An elementary method is given for finding a rec...
AbstractDefine S(r)n=∑nk=0(nk)r(r=1,2,…). An elementary method is given for finding a recurrence for...
Some results and conjectures about recurrence relations for certain sequences of binomial sums
We explicitly determine the Ap\'ery limits for the sums of powers of binomial coefficients. As an ap...
International audienceWe study recurrence, and multiple recurrence, properties along the $k$-th powe...
Abstract. We study recurrence, and multiple recurrence, properties along the k-th powers of a given ...
Modifying an idea of E. Brietzke we give simple proofs for the recurrence relations of some sequence...
AbstractThe recurrence for sums of powers of binomial coefficients is considered and a lower bound f...
AbstractWe derive an upper bound for the minimal length of a linear recurrence satisfied by a sequen...
We investigate when the sequence of binomial coefficients binom(k,i) modulo a prime p, for a fixed p...
AbstractWe investigate when the sequence of binomial coefficients (ki) modulo a prime p, for a fixed...
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