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 A381292 #8 Feb 19 2025 16:12:50 %S A381292 1,80,12096,2196480,435635200,91017658368,19681596211200, %T A381292 4361120388218880,984138122900275200,225245492144504832000, %U A381292 52138539404512009912320,12180522019129546663526400,2867511425916768698757021696,679455041354637369514813030400,161892954188496214335204360192000 %N A381292 Expansion of g.f. hypergeom([1/2, 3/4, 5/4], [1, 3/2], 256*x). %H A381292 S. Hassani, J.-M. Maillard, and N. Zenine, <a href="https://arxiv.org/abs/2502.05543">On the diagonals of rational functions: the minimal number of variables (unabridged version)</a>, arXiv:2502.05543 [math-ph], 2025. See p. 42. %F A381292 a(n) = 2^(6*n+1)*Gamma(2*n+3/2)/((2*n+1)*sqrt(Pi)*(n!)^2). %t A381292 a[n_]:=2^(6n+1)Gamma[2n+3/2]/((2n+1)Sqrt[Pi]n!^2); Array[a,15,0] %Y A381292 Cf. A001044, A277757. %K A381292 nonn %O A381292 0,2 %A A381292 _Stefano Spezia_, Feb 19 2025