A347985 - OEIS

%I #36 Sep 24 2021 16:35:14

%S 1,-3,131,-8955,893249,-117408375,19180128407,-3747886705563,

%T 852713408774513,-221431482383149467,64629367172619230475,

%U -20945446993569455512155,7463226827397324296491489,-2899926767958744905966692575

%N a(n) = [x^n] (2*n)! * Sum_{k=0..2*n} binomial(x-2*n,k).

%H Seiichi Manyama, <a href="/A347985/b347985.txt">Table of n, a(n) for n = 0..283</a>

%F a(n) = A054649(2*n,n).

%o (PARI) a(n) = (2*n)!*polcoef(sum(k=n, 2*n, binomial(x-2*n, k)), n);

%Y Cf. A054649.

%K sign

%O 0,2

%A _Seiichi Manyama_, Sep 24 2021