A377349 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^2)/A(x)^2.

1, 1, 1, 8, 62, 744, 11102, 201704, 4323720, 106591584, 2974873656, 92674125840, 3188299718496, 120053825169888, 4911082489042992, 216879763758962688, 10283600782413709056, 521088305671611058176, 28101278301136842204288, 1606968565080853531472640

Offset

0,4

Links

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

Formula

a(n) = Sum_{k=0..floor((2*n+1)/3)} (2*n-2*k)!/(2*n-3*k+1)! * |Stirling1(n,k)|.

Prog

(PARI) a(n) = sum(k=0, (2*n+1)\3, (2*n-2*k)!/(2*n-3*k+1)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A365438, A367080, A367138, A377329.

Cf. A377325, A377350.

Sequence in context: A053095 A356461 A099335 * A356238 A374421 A194930

Adjacent sequences: A377346 A377347 A377348 * A377350 A377351 A377352

Keyword

nonn

Author

Seiichi Manyama, Oct 26 2024

Status

approved