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 A387366 #16 Aug 29 2025 10:15:29
%S A387366 1,15,186,2150,23955,260925,2798740,29688300,312289605,3263403275,
%T A387366 33922215822,351081270930,3620347505047,37217828876025,
%U A387366 381591426746280,3903412392243800,39848499404096265,406072116038615175,4131456665470332130,41974347760312761150,425899035044461953051
%N A387366 Expansion of 1/(1 - 10*x + x^2)^(3/2).
%H A387366 Vincenzo Librandi, <a href="/A387366/b387366.txt">Table of n, a(n) for n = 0..1000</a>
%F A387366 n*a(n) = 5*(2*n+1)*a(n-1) - (n+1)*a(n-2) for n > 1.
%F A387366 a(n) = ((n+2)/2) * A387368(n).
%F A387366 a(n) = (-1)^n * Sum_{k=0..n} (1/10)^(n-2*k) * binomial(-3/2,k) * binomial(k,n-k).
%t A387366 CoefficientList[Series[1/(1-10*x+x^2)^(3/2),{x,0,33}],x] (* _Vincenzo Librandi_, Aug 29 2025 *)
%o A387366 (PARI) my(N=30, x='x+O('x^N)); Vec(1/(1-10*x+x^2)^(3/2))
%o A387366 (Magma) R<x> := PowerSeriesRing(Rationals(), 34); f := 1/(1 - 10*x + x^2)^(3/2); coeffs := [ Coefficient(f, n) : n in [0..33] ]; coeffs; // _Vincenzo Librandi_, Aug 29 2025
%Y A387366 Cf. A006442, A387367.
%Y A387366 Cf. A387368.
%K A387366 nonn,new
%O A387366 0,2
%A A387366 _Seiichi Manyama_, Aug 27 2025