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 A348068 #18 Sep 28 2021 03:45:41 %S A348068 1,-9,112,-1064,12873,-140595,1870385,-23551110,351042406,-5043110072, %T A348068 84074954600,-1361614072000,25218570009424,-455365645674480, %U A348068 9298765013106384,-185409487083100320,4144212593899945056,-90492302454898284864,2199399908894486591040 %N A348068 Coefficient of x^5 in expansion of n!* Sum_{k=0..n} binomial(x,k). %F A348068 E.g.f.: (log(1 + x))^5/(120 * (1 - x)). %o A348068 (PARI) a(n) = n!*polcoef(sum(k=5, n, binomial(x, k)), 5); %o A348068 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(log(1+x)^5/(120*(1-x)))) %o A348068 (Python) %o A348068 from sympy.abc import x %o A348068 from sympy import ff, expand %o A348068 def A348068(n): return sum(ff(n,n-k)*expand(ff(x,k)).coeff(x**5) for k in range(5,n+1)) # _Chai Wah Wu_, Sep 27 2021 %Y A348068 Column k=5 of A190782. %Y A348068 Cf. A000482, A001233, A054651, A347987, A348063, A348064, A348065. %K A348068 sign %O A348068 5,2 %A A348068 _Seiichi Manyama_, Sep 27 2021