A373870 - OEIS

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A373870

a(n) = Sum_{k=1..n} k! * k^(n-3) * |Stirling1(n,k)|.

0, 1, 2, 14, 254, 9154, 552034, 50183832, 6417140232, 1098719459424, 242758470248976, 67260880064331216, 22840933997866565184, 9330599517868641290160, 4514326567036815466609008, 2553018492454631240215801344, 1668797317379516060093446975104

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

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

FORMULA

E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k^3.

PROG

(PARI) a(n) = sum(k=1, n, k!*k^(n-3)*abs(stirling(n, k, 1)));

CROSSREFS

Cf. A373869, A373871, A373872.

Cf. A320096, A373855, A373875.