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 A351526 Expansion of e.g.f. (log(1 + log(1 + log(1 + log(1+ x)))))^2 / 2. 2
 1, -12, 152, -2210, 36976, -704837, 15132932, -362099010, 9566898126, -276863733707, 8715530417502, -296641340905299, 10858928017129838, -425542158316462627, 17779220784851800828, -789053832262002586555, 37076561046965367191298 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 LINKS Table of n, a(n) for n=2..18. FORMULA a(n) = (-1)^n * Sum_{k=1..n-1} binomial(n-1,k) * A000310(k) * A000310(n-k). PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(log(1+log(1+log(1+log(1+x))))^2/2)) (PARI) T(n, k) = if(k==0, n==1, sum(j=0, n, abs(stirling(n, j, 1))*T(j, k-1))); a(n) = (-1)^n*sum(k=1, n-1, binomial(n-1, k)*T(k, 4)*T(n-k, 4)); CROSSREFS Column 2 of A039816. Cf. A000310, A341587, A351514, A351525, A351527. Sequence in context: A286432 A189548 A103759 * A121195 A189490 A180808 Adjacent sequences: A351523 A351524 A351525 * A351527 A351528 A351529 KEYWORD sign AUTHOR Seiichi Manyama, Feb 13 2022 STATUS approved

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Last modified September 14 10:34 EDT 2024. Contains 375921 sequences. (Running on oeis4.)