A360992 G.f. satisfies A(x) = 1 + x * (1 - x)^2 * A(x * (1 - x)).

1, 1, -1, -3, 4, 12, -38, -33, 428, -696, -3640, 23140, -24766, -358024, 2254416, -2636188, -48229769, 372329934, -777177980, -8375653981, 92394060425, -351172999190, -1461026905290, 30190430840555, -192411489098224, 66898238530023, 11177278011895383

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

a(0) = 1; a(n) = Sum_{k=0..n-1} (-1)^k * binomial(n+1-k,k) * a(n-1-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, (-1)^j*binomial(i+1-j, j)*v[i-j])); v;

Crossrefs

Cf. A360887, A360894.

Sequence in context: A000208 A079154 A101716 * A217477 A299809 A109771

Adjacent sequences: A360989 A360990 A360991 * A360993 A360994 A360995

Keyword

sign

Author

Seiichi Manyama, Feb 27 2023

Status

approved