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 A373816 #13 Aug 04 2024 10:14:59
%S A373816 1,6,66,716,7746,83748,905332,9786456,105788610,1143539764,
%T A373816 12361276668,133621178280,1444399211188,15613460929512,
%U A373816 168776165962152,1824412555458480,19721274932411586,213180228200294100,2304405260270678316,24909831687105112968
%N A373816 Expansion of 1/(2 - 1/(1 - 4*x)^(3/2)).
%F A373816 a(n) = 4^n * Sum_{k>=0} (1/2)^(k+1) * binomial(n-1+3*k/2,n).
%o A373816 (PARI) my(N=20, x='x+O('x^N)); Vec(1/(2-1/(1-4*x)^(3/2)))
%Y A373816 Cf. A075436, A373715.
%K A373816 nonn,easy
%O A373816 0,2
%A A373816 _Seiichi Manyama_, Aug 04 2024