|
%I #6 Mar 30 2012 18:37:38
%S 1,1,7,136,5243,337926,32835687,4489157296,821988647139,
%T 194271151505410,57588227767731323,20926176288185481600,
%U 9148417925040487304917,4737353391259130086721836,2867750643606307859579827455,2006632021748934960936683256384
%N E.g.f. A(x) satisfies: A(x) = 1 / [Sum_{n>=0} (-x)^n*A(x)^n/n!^2], where A(x) = Sum_{n>=0} a(n)*x^n/n!^2.
%e E.g.f.: A(x) = 1 + x + 7*x^2/2!^2 + 136*x^3/3!^2 + 5243*x^4/4!^2 + 337926*x^5/5!^2 +...
%e such that
%e A(x) = 1/(1 - x*A(x) + x^2*A(x)^2/2!^2 - x^3*A(x)^3/3!^2 + x^4*A(x)^4/4!^2 +...).
%o (PARI) {a(n)=n!^2*polcoeff(1/x*serreverse(x*sum(m=0,n,(-x)^m/m!^2)+x^2*O(x^n)),n)}
%o for(n=0,31,print1(a(n),", "))
%K nonn
%O 0,3
%A _Paul D. Hanna_, Mar 16 2012
|
