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A355203 E.g.f. A(x) satisfies A'(x) = 1 + A(1 - exp(-x)). 3
1, 1, 0, -2, 4, 10, -150, 838, 222, -82616, 1408364, -13862308, -18747672, 5307622274, -170657860276, 3561218897884, -33756455501714, -1481233045213718, 116803294574962288, -5108843717328225572, 157037998518149186728, -1976107915155933805542 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..332

FORMULA

a(1) = 1; a(n+1) = Sum_{k=1..n} (-1)^(n-k) * Stirling2(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, (-1)^(i-j)*stirling(i, j, 2)*v[j])); v;

CROSSREFS

Cf. A003659, A143805, A307874.

Cf. A355207, A355211, A355217.

Sequence in context: A326967 A223851 A297364 * A327059 A012555 A012722

Adjacent sequences:  A355200 A355201 A355202 * A355204 A355205 A355206

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 24 2022

STATUS

approved

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Last modified September 29 16:23 EDT 2022. Contains 357090 sequences. (Running on oeis4.)