cp's OEIS Frontend

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.

A373175 Expansion of e.g.f. exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2.

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%I A373175 #11 May 27 2024 15:48:45
%S A373175 1,3,8,25,87,386,1663,11313,39560,717067,-2408199,128675438,
%T A373175 -2009225567,53624676795,-1282589050168,35660396328721,
%U A373175 -1032462831852297,32302377782200418,-1070227545188815745,37651172275242136857,-1398665563931458389304,54757245858874447661683
%N A373175 Expansion of e.g.f. exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2.
%H A373175 Y. Alp and E. G. Kocer, <a href="https://doi.org/10.1007/s00025-024-02193-5">Exponential Almost-Riordan Arrays</a>, Results Math 79, 173 (2024). See page 24.
%t A373175 a[n_]:=n!SeriesCoefficient[Exp[Sqrt[2x+1]-1]/(2-Sqrt[2x+1])^2,{x,0,n}]; Array[a,22,0]
%o A373175 (PARI) my(x = 'x+O('x^30)); Vec(serlaplace(exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2)) \\ _Michel Marcus_, May 27 2024
%Y A373175 Cf. A000806, A330797, A373176.
%K A373175 sign
%O A373175 0,2
%A A373175 _Stefano Spezia_, May 26 2024