A138315 E.g.f. satisfies: A(x) = exp( Sum_{n>=0} a(n)*x^(2n+1)/(2n+1) ).
1, 1, 1, 3, 9, 45, 225, 3015, 22545, 473625, 4637025, 191508075, 2288273625, 123786785925, 1735168572225, 276775700288175, 4433024011291425, 510439906229029425, 9196849128341801025, 3123191121957643317075
Offset: 0
Keywords
Examples
E.g.f.: A(x) = 1 + x + x^2/2! + 3*x^3/3! + 9*x^4/4! + 45*x^5/5! + 225*x^6/6! +... Log(A(x)) = x + x^3/3 + x^5/5 + 3*x^7/7 + 9*x^9/9 + 45*x^11/11 + 225*x^13/13 +...
Crossrefs
Cf. A138314.
Programs
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PARI
{a(n)=local(A=if(n==0,x,sum(k=0,n\2,a(k)*x^(2*k+1)/(2*k+1)))); n!*polcoeff(exp(A+x*O(x^n)),n)}