A355102 E.g.f. A(x) satisfies A(x) = 1 + 2 * x * A(1 - exp(-x)).

1, 2, 8, 36, 112, -500, -10056, 24220, 2184480, -8762868, -1076904200, 13388615108, 954279034416, -32517111227484, -1095519424670888, 104108720480963940, 63376017498217152, -394143964914859213828, 17135457626785509446184, 1359360091138085321022956

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(0) = 1; a(n) = 2 * n * Sum_{k=0..n-1} (-1)^(n-k-1) * Stirling2(n-1,k) * a(k).

a(n) = 2 * n * A355093(n-1) for n>0.

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*sum(j=0, i-1, (-1)^(i-j-1)*stirling(i-1, j, 2)*v[j+1])); v;

Crossrefs

Cf. A354574, A355103.

Cf. A355093.

Sequence in context: A076122 A332607 A236626 * A355104 A248861 A323677

Adjacent sequences: A355099 A355100 A355101 * A355103 A355104 A355105

Keyword

sign

Author

Seiichi Manyama, Jun 19 2022

Status

approved