A079646 A congruence property: a(n) = (A248586(p)-5)/(4*p) where p is the n-th prime.

5, 43, 4619, 688390, 23517593780, 4879569381720, 239177513351286095, 55404294334042254028, 3163613989757561167486439, 48119240966975050455116308972625, 12175395259244110756232625177237480, 206515669664553406211418087534393094881690

Offset: 1

Author

Benoit Cloitre, Feb 16 2003

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..141

Crossrefs

Cf. A248586.

Programs

Mathematica

f[n_] := Sum[Binomial[n, k] * Binomial[2*k, k]^2, {k, 0, n}]; Table[(f[p]-5)/(4*p), {p, Prime[Range[12]]}] (* Amiram Eldar, Apr 20 2025 *)

Extensions

Name corrected by Amiram Eldar, Apr 20 2025