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.

A115332 E.g.f: exp(x/(1-5*x))/sqrt(1-25*x^2).

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%I A115332 #9 Jan 30 2020 21:29:15
%S A115332 1,1,36,256,11236,181476,9461776,251412736,15256202256,574194155536,
%T A115332 39891552832576,1953973812658176,153336819846991936,
%U A115332 9264773325882888256,812060124489852846336,58352827798669641650176
%N A115332 E.g.f: exp(x/(1-5*x))/sqrt(1-25*x^2).
%C A115332 Term-by-term square of sequence with e.g.f.: exp(x+m/2*x^2) is given by e.g.f.: exp(x/(1-m*x))/sqrt(1-m^2*x^2) for all m.
%F A115332 Equals term-by-term square of A115331 which has e.g.f.: exp(x+5/2*x^2).
%F A115332 D-finite with recurrence: a(n) = (5*n-4)*a(n-1) + 5*(n-1)*(5*n-4)*a(n-2) - 125*(n-1)*(n-2)^2*a(n-3). - _Vaclav Kotesovec_, Jun 26 2013
%F A115332 a(n) ~ 1/2*exp(2*sqrt(n/5)-n-1/10)*5^n*n^n. - _Vaclav Kotesovec_, Jun 26 2013
%t A115332 CoefficientList[Series[E^(x/(1-5*x))/Sqrt[1-25*x^2], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Jun 26 2013 *)
%o A115332 (PARI) a(n)=local(m=5);n!*polcoeff(exp(x/(1-m*x+x*O(x^n)))/sqrt(1-m^2*x^2+x*O(x^n)),n)
%Y A115332 Cf. A115331.
%K A115332 nonn
%O A115332 0,3
%A A115332 _Paul D. Hanna_, Jan 20 2006