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.

A144002 E.g.f. A(x) satisfies: A(x) = 1 + Series_Reversion( Integral 1/A(x)^2 dx ).

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%I A144002 #12 Sep 07 2024 16:02:48
%S A144002 1,1,2,10,88,1152,20448,464608,12998176,435443328,17106187520,
%T A144002 775347933312,40025403691136,2328514989726720,151324140857050624,
%U A144002 10904257049278844416,865717992565002800640,75309304802558209263616,7143418423952431605493760,735668180680897524348745728
%N A144002 E.g.f. A(x) satisfies: A(x) = 1 + Series_Reversion( Integral 1/A(x)^2 dx ).
%H A144002 Paul D. Hanna, <a href="/A144002/b144002.txt">Table of n, a(n) for n = 0..100</a>
%F A144002 E.g.f. A(x) satisfies: A'(x) = A(A(x) - 1)^2. - _Paul D. Hanna_, Nov 25 2014 [corrected by _Paul D. Hanna_, Sep 07 2024]
%e A144002 E.g.f.: A(x) = 1 + x + 2*x^2/2! + 10*x^3/3! + 88*x^4/4! + 1152*x^5/5! + ...
%o A144002 (PARI) {a(n) = my(A=1+x+x*O(x^n)); for(i=0,n, A = 1 + serreverse(intformal(1/A^2))); n!*polcoef(A,n)}
%o A144002 for(n=0,20,print1(a(n),", "))
%Y A144002 Cf. A001028, A144003, A144004.
%K A144002 nonn
%O A144002 0,3
%A A144002 _Paul D. Hanna_, Sep 07 2008