A385551 - OEIS

A385551

G.f. A(x) satisfies A(x) = Sum_{k>=0} x^k * A(-k*x).

1, 1, 0, -1, -1, 4, 3, -147, -770, 15721, 107475, -10571326, -227719699, 23388067045, 997369658304, -266390905549461, -23979310388230253, 11854227262950292612, 2477760824989752459951, -2291696206079126389222423, -973819883013544085453392378, 1953283201528648806346685956669

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(0) = 1; a(n) = Sum_{k=0..n-1} (k-n)^k * a(k).

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (j-i)^j*v[j+1])); v;

CROSSREFS

Cf. A125282, A195067.

Cf. A385550.