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 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