A380972 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x*exp(2*x)) ).

1, 1, 7, 76, 1237, 26816, 728899, 23866816, 915129961, 40237778944, 1996402790431, 110351882157056, 6725593733125117, 448106469169905664, 32404532970216803803, 2527793703574203252736, 211589448225820679029969, 18917558526854862344290304, 1799285901282568752019291063

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Index entries for reversions of series

Formula

E.g.f. A(x) satisfies A(x) = exp( x*A(x) * exp(2*x*A(x)) ).

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

Prog

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

Crossrefs

Cf. A162695, A380973.

Cf. A380879.

Sequence in context: A114470 A098497 A366015 * A337595 A215515 A215518

Adjacent sequences: A380969 A380970 A380971 * A380973 A380974 A380975

Keyword

nonn

Author

Seiichi Manyama, Feb 10 2025

Status

approved