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A351423
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Expansion of e.g.f. -log(1 - log(1 + log(1 + log(1 + log(1+x))))).
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2
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1, -3, 16, -124, 1270, -16243, 249776, -4494334, 92716855, -2158505443, 55996266046, -1602132913687, 50124833578256, -1702501170925098, 62391472267252322, -2453892459756494459, 103101294099324376489, -4608723131704380915202
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..18.
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FORMULA
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a(n) = T(n,5), T(n,k) = Sum_{j=1..n} Stirling1(n,j) * T(j,k-1), k>1, T(n,1) = (n-1)!.
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MATHEMATICA
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T[n_, 1] := (n - 1)!; T[n_, k_] := T[n, k] = Sum[StirlingS1[n, j] * T[j, k - 1], {j, 1, n}]; a[n_] := T[n, 5]; Array[a, 18] (* Amiram Eldar, Feb 11 2022 *)
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(-log(1-log(1+log(1+log(1+log(1+x)))))))
(PARI) T(n, k) = if(k==1, (n-1)!, sum(j=1, n, stirling(n, j, 1)*T(j, k-1)));
a(n) = T(n, 5);
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CROSSREFS
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Column k=5 of A351420.
Cf. A000359, A351428.
Sequence in context: A005119 A190291 A090135 * A188417 A327826 A157457
Adjacent sequences: A351420 A351421 A351422 * A351424 A351425 A351426
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KEYWORD
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sign
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AUTHOR
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Seiichi Manyama, Feb 11 2022
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STATUS
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approved
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