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 A375905 #8 Sep 02 2024 08:38:38 %S A375905 1,3,15,111,1116,14352,226176,4233492,91936080,2274815712,63220205736, %T A375905 1950659365608,66187523184048,2450020566119760,98269427218682880, %U A375905 4246150991775421824,196657057172519603712,9719485198364207149056,510628699670802850684800 %N A375905 E.g.f. satisfies A(x) = (1 - log(1 - x * A(x)^(1/3)))^3. %F A375905 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A138013. %F A375905 E.g.f.: A(x) = ( (1/x) * Series_Reversion(x / (1 - log(1-x))) )^3. %F A375905 a(n) = 3 * (n+2)! * Sum_{k=0..n} |Stirling1(n,k)|/(n-k+3)!. %o A375905 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace((serreverse(x/(1-log(1-x)))/x)^3)) %o A375905 (PARI) a(n) = 3*(n+2)!*sum(k=0, n, abs(stirling(n, k, 1))/(n-k+3)!); %Y A375905 Cf. A138013, A375904. %K A375905 nonn %O A375905 0,2 %A A375905 _Seiichi Manyama_, Sep 02 2024