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 A348065 #18 Sep 27 2021 18:31:47 %S A348065 1,-5,55,-350,3969,-31563,408050,-3920950,58206676,-657328100, %T A348065 11111159696,-144321864960,2747845864464,-40364369180016, %U A348065 856755330487200,-14042902728462624,329258021171239296,-5956512800554963584,153050034289602269952,-3028534064042216488704,84691080748928315003904 %N A348065 Coefficient of x^4 in expansion of n!* Sum_{k=0..n} binomial(x,k). %F A348065 E.g.f.: (log(1 + x))^4/(24 * (1 - x)). %o A348065 (PARI) a(n) = n!*polcoef(sum(k=4, n, binomial(x, k)), 4); %o A348065 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(log(1+x)^4/(24*(1-x)))) %o A348065 (Python) %o A348065 from sympy.abc import x %o A348065 from sympy import ff, expand %o A348065 def A348065(n): return sum(ff(n,n-k)*expand(ff(x,k)).coeff(x**4) for k in range(4,n+1)) # _Chai Wah Wu_, Sep 27 2021 %Y A348065 Column k=4 of A190782. %Y A348065 Cf. A000482, A054651, A028341, A347987, A348063, A348064, A348068. %K A348065 sign %O A348065 4,2 %A A348065 _Seiichi Manyama_, Sep 26 2021