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A380492 a(n) = n! * Sum_{k=0..n} binomial(2*n-2,k)/(n-k)!.

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%I A380492 #10 Jan 25 2025 11:27:17
%S A380492 1,1,7,73,1045,19081,424051,11109337,335262313,11453449105,
%T A380492 436944953791,18412283563081,849345673881277,42570185481576793,
%U A380492 2303643608370636715,133859418832759525081,8312945340897388101841,549460711493172343519777,38513032385247860120975863
%N A380492 a(n) = n! * Sum_{k=0..n} binomial(2*n-2,k)/(n-k)!.
%H A380492 Wikipedia, <a href="https://en.wikipedia.org/wiki/Laguerre_polynomials">Laguerre polynomials</a>
%H A380492 <a href="/index/La#Laguerre">Index entries for sequences related to Laguerre polynomials</a>
%F A380492 a(n) = n! * LaguerreL(n, n-2, -1).
%F A380492 a(n) = n! * [x^n] exp(x/(1 - x))/(1 - x)^(n-1).
%o A380492 (PARI) a(n) = n!*pollaguerre(n, n-2, -1);
%Y A380492 Cf. A082545, A152059, A251568, A293985, A343832, A380491, A380493.
%K A380492 nonn
%O A380492 0,3
%A A380492 _Seiichi Manyama_, Jan 25 2025