A365766 Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x) ).

1, 6, 56, 626, 7721, 101322, 1387648, 19606874, 283711805, 4183074796, 62618441024, 949174260118, 14539621490403, 224721722650224, 3500129695446816, 54882906729334378, 865664769346769005, 13725517938819785298, 218639429113140366968

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..811

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+1,k) * binomial(6*n-k+4,n-k) = (1/(n+1)) * Sum_{k=0..n} binomial(5*n+k+4,k) * binomial(n+1,n-k).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+1, k)*binomial(6*n-k+4, n-k))/(n+1);

Crossrefs

Cf. A003169, A006318, A365764, A365765.

Cf. A365753.

Sequence in context: A227384 A199755 A025749 * A297705 A231690 A285166

Adjacent sequences: A365763 A365764 A365765 * A365767 A365768 A365769

Keyword

nonn

Author

Seiichi Manyama, Sep 18 2023

Status

approved