A355214 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * log(1+x))/2.

1, 1, 1, 0, -8, -64, -600, -14104, -1170120, -248815984, -115219852880, -111345726833056, -220485042541083808, -885633596688107274496, -7173767949430448755993856, -116777715174661360994951467008, -3812515511649504447203183936705536

Offset

1,5

Links

Seiichi Manyama, Table of n, a(n) for n = 1..83

Formula

a(1) = 1; a(n+1) = Sum_{k=1..n} 2^(k-1) * Stirling1(n,k) * a(k).

Prog

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

Crossrefs

Cf. A355120, A355208.

Sequence in context: A199567 A213336 A366497 * A047900 A204212 A238724

Adjacent sequences: A355211 A355212 A355213 * A355215 A355216 A355217

Keyword

sign

Author

Seiichi Manyama, Jun 24 2022

Status

approved