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A355134 E.g.f. A(x) satisfies A(x) = 1 - 2 * log(1-x) * A(-2 * log(1-x)). 2
1, 2, 18, 484, 33756, 5726688, 2282797376, 2092535127520, 4343501656698208, 20170260943214036928, 207447888426953360929472, 4684772419161811298440759936, 230574775676259398837728211069824, 24573264762390563391638492791134674432 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

FORMULA

E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + 2*x*A(2*x).

a(0) = 1; a(n) = Sum_{k=1..n} k * 2^k * |Stirling1(n,k)| * a(k-1).

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^j*abs(stirling(i, j, 1))*v[j])); v;

CROSSREFS

Cf. A355121, A355126.

Sequence in context: A156907 A053916 A355131 * A277037 A015203 A208885

Adjacent sequences:  A355131 A355132 A355133 * A355135 A355136 A355137

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 20 2022

STATUS

approved

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Last modified August 7 12:59 EDT 2022. Contains 355989 sequences. (Running on oeis4.)