A365085 - OEIS

A365085

G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^2.

1, 1, -1, -2, 5, 6, -30, -13, 189, -56, -1188, 1266, 7194, -14377, -40183, 135278, 188773, -1151800, -503880, 9109076, -3419924, -67220176, 80390824, 458183898, -998680470, -2794491329, 10156144385, 13919066170, -92250872385, -36047778330, 769826420850, -339940775445

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..31.

FORMULA

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

PROG

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

CROSSREFS

Cf. A090192, A365086, A365087, A365088.

Cf. A106510, A364735.