A371298 E.g.f. satisfies A(x) = 2/(3 - exp(2*x*A(x)^2)).

1, 1, 8, 124, 2928, 93496, 3773536, 184354752, 10580324096, 697840047616, 52018550966784, 4324989984168448, 396842631019350016, 39833949803142014976, 4342129457277000261632, 510808184298890239393792, 64504327889586673547673600, 8703038855093947990994452480

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A122704, A370894.

Cf. A371296.

Sequence in context: A367122 A069459 A254125 * A024282 A340888 A231638

Adjacent sequences: A371295 A371296 A371297 * A371299 A371300 A371301

Keyword

nonn

Author

Seiichi Manyama, Mar 18 2024

Status

approved