A365840 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^2 ).

1, 6, 55, 602, 7263, 93192, 1247636, 17230290, 243669007, 3511010950, 51361157967, 760784343128, 11387857096900, 171988619895216, 2617571721008520, 40105744064042626, 618116513218831407, 9576289414539654450, 149053521972041737413

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(4*n+k+3,k) * binomial(2*(n+1),n-k).

Prog

(PARI) a(n) = sum(k=0, n, binomial(4*n+k+3, k)*binomial(2*(n+1), n-k))/(n+1);

Crossrefs

Cf. A032349, A365839, A365841.

Cf. A278745.

Sequence in context: A079589 A371776 A372210 * A006200 A243691 A151345

Adjacent sequences: A365837 A365838 A365839 * A365841 A365842 A365843

Keyword

nonn

Author

Seiichi Manyama, Sep 20 2023

Status

approved