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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.

A348068 Coefficient of x^5 in expansion of n!* Sum_{k=0..n} binomial(x,k).

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%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