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 A232607 #7 Jul 05 2014 07:49:06 %S A232607 1,3,19,159,1546,16517,188246,2248863,27844369,354576634,4618570090, %T A232607 61289049293,826064774033,11281763625102,155834042142463, %U A232607 2173801434825011,30585769379262567,433633765794690539,6189637467948022825,88886796123324352030,1283443017706197910489,18623352714450226405962 %N A232607 G.f. A(x) satisfies: (A(x) + x*A'(x)) / (A(x) - x*A(x)^2) = Sum_{n>=0} binomial(2*n,n)^2*x^n. %H A232607 Vaclav Kotesovec, <a href="/A232607/b232607.txt">Table of n, a(n) for n = 0..200</a> %F A232607 G.f.: A(x) = (1/x)*Series_Reversion(x/F(x)) where F(x) = A(x/F(x)) is the g.f. of A232606. %F A232607 Limit n->infinity a(n)^(1/n) = 16. - _Vaclav Kotesovec_, Jul 05 2014 %e A232607 G.f.: A(x) = 1 + 3*x + 19*x^2 + 159*x^3 + 1546*x^4 + 16517*x^5 + 188246*x^6 +... %e A232607 where the g.f. satisfies: %e A232607 (A(x) + x*A'(x)) / (A(x) - x*A(x)^2) = 1 + 2^2*x + 6^2*x^2 + 20^2*x^3 + 70^2*x^4 + 252^2*x^5 +...+ A000984(n)^2*x^n +... %o A232607 (PARI) {a(n)=local(CB2=sum(k=0,n,binomial(2*k,k)^2*x^k)+x*O(x^n), A=1+x*O(x^n)); %o A232607 for(i=1,n,A = 1 + intformal( (CB2-1)*A/x - CB2*A^2));polcoeff(A,n)} %o A232607 for(n=0,30,print1(a(n),", ")) %Y A232607 Cf. A232606, A000984, A002894. %K A232607 nonn %O A232607 0,2 %A A232607 _Paul D. Hanna_, Nov 26 2013