A371296 E.g.f. satisfies A(x) = 1/(3 - 2*exp(x*A(x)^2)).

1, 2, 26, 674, 26682, 1429682, 96867178, 7946279490, 765861255002, 84837503946962, 10621798904563530, 1483378875680954210, 228626616449674796602, 38549099486166110798322, 7058696888173770772536362, 1394913467379909728350803074, 295904373562519633314958421274

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = (1/(2*n+1)!) * Sum_{k=0..n} 2^k * (2*n+k)! * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=0, n, 2^k*(2*n+k)!*stirling(n, k, 2))/(2*n+1)!;

Crossrefs

Cf. A004123, A258922.

Cf. A367134.

Sequence in context: A255538 A302719 A090247 * A373869 A371297 A206601

Adjacent sequences: A371293 A371294 A371295 * A371297 A371298 A371299

Keyword

nonn

Author

Seiichi Manyama, Mar 18 2024

Status

approved