A375953 - OEIS

A375953

Expansion of e.g.f. 1 / (1 + 2 * log(1 - x))^(5/2).

1, 5, 40, 430, 5770, 92590, 1726940, 36682200, 873793620, 23061929940, 667868085360, 21052931727240, 717531427466280, 26289935772108120, 1030422613932910800, 43018144091244322560, 1905711682795871222160, 89284805444478025826640

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OFFSET

0,2

LINKS

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

FORMULA

a(n) = (1/3) * Sum_{k=0..n} A001147(k+2) * |Stirling1(n,k)|.

MATHEMATICA

nmax=17; CoefficientList[Series[1 / (1 + 2 * Log[1 - x])^(5/2), {x, 0, nmax}], x]*Range[0, nmax]! (* Stefano Spezia, Sep 03 2024 *)

PROG

(PARI) a001147(n) = prod(k=0, n-1, 2*k+1);

a(n) = sum(k=0, n, a001147(k+2)*abs(stirling(n, k, 1)))/3;

CROSSREFS

Cf. A088500, A367474, A367475, A375945.

Cf. A001147.

Sequence in context: A375456 A083304 A375954 * A208248 A290932 A258172

Adjacent sequences: A375950 A375951 A375952 * A375954 A375955 A375956

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 03 2024

STATUS

approved