This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A351526 #12 Feb 14 2022 03:53:26 %S A351526 1,-12,152,-2210,36976,-704837,15132932,-362099010,9566898126, %T A351526 -276863733707,8715530417502,-296641340905299,10858928017129838, %U A351526 -425542158316462627,17779220784851800828,-789053832262002586555,37076561046965367191298 %N A351526 Expansion of e.g.f. (log(1 + log(1 + log(1 + log(1+ x)))))^2 / 2. %F A351526 a(n) = (-1)^n * Sum_{k=1..n-1} binomial(n-1,k) * A000310(k) * A000310(n-k). %o A351526 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(log(1+log(1+log(1+log(1+x))))^2/2)) %o A351526 (PARI) T(n, k) = if(k==0, n==1, sum(j=0, n, abs(stirling(n, j, 1))*T(j, k-1))); %o A351526 a(n) = (-1)^n*sum(k=1, n-1, binomial(n-1, k)*T(k, 4)*T(n-k, 4)); %Y A351526 Column 2 of A039816. %Y A351526 Cf. A000310, A341587, A351514, A351525, A351527. %K A351526 sign %O A351526 2,2 %A A351526 _Seiichi Manyama_, Feb 13 2022