A355086 - OEIS

A355086

E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(2*x).

1, 1, 5, 68, 2318, 191364, 37322176, 16851654336, 17323677619888, 39991811695203552, 204958165376127918144, 2309776412016044230960128, 56778926016923229432156258048, 3023733345610004146919028796718592

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..13.

FORMULA

a(0) = 1; a(n) = Sum_{k=1..n} 2^(n-k) * (k-1)! * binomial(n,k) * a(n-k).

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, 2^(i-j)*(j-1)!*binomial(i, j)*v[i-j+1])); v;

CROSSREFS

Cf. A007840, A355087.

Cf. A352860.

Sequence in context: A264697 A319465 A193439 * A337951 A092817 A333035

Adjacent sequences: A355083 A355084 A355085 * A355087 A355088 A355089

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 18 2022

STATUS

approved