OFFSET
1,1
COMMENTS
FORMULA
a(n) = ( Sum_{k = 0..n-1} binomial(n-1,k)^2*binomial(n+k-1,k)^2 )^5 * ( Sum_{k = 0..n} binomial(n,k)^2*binomial(n+k,k) )^6.
a(n*p^r) == a(n*p^(r-1)) ( mod p^(3*r) ) for positive integers n and r and for all primes p >= 5.
MAPLE
seq( add(binomial(n-1, k)^2*binomial(n+k-1, k)^2, k = 0..n-1)^5 * add(binomial(n, k)^2*binomial(n+k, k), k = 0..n)^6, n = 1..20);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Peter Bala, Oct 25 2022
STATUS
approved