A365846 - OEIS

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A365846

Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1+x)^4 ).

3

1, 7, 73, 903, 12281, 177415, 2672377, 41506823, 659972089, 10689904647, 175765581817, 2925998735367, 49219210772473, 835307328307207, 14284937032826873, 245924997499453447, 4258621314671050745, 74128819286282600455, 1296324135131612708857

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

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

FORMULA

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

PROG

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

CROSSREFS

Cf. A066357, A365754, A365847, A365848.

Sequence in context: A357226 A106651 A114429 * A365668 A124547 A084363

Adjacent sequences: A365843 A365844 A365845 * A365847 A365848 A365849

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 20 2023

STATUS

approved