A385204 G.f. A(x) satisfies A(x) = ( 1 + 25*x*A(x)^3 )^(1/5).
1, 5, 25, 0, -1250, -6875, 65625, 1062500, 0, -116796875, -782031250, 8609375000, 155390625000, 0, -19950927734375, -141498046875000, 1635108642578125, 30759411621093750, 0, -4223049316406250000, -30787073669433593750, 364567847442626953125
Offset: 0
Keywords
Programs
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PARI
a(n) = 25^n*binomial(3*n/5+1/5, n)/(3*n+1);
Formula
a(n) = 25^n * binomial(3*n/5+1/5,n)/(3*n+1).
G.f. A(x) satisfies A(x) = 1/A(-x*A(x)).
G.f.: ( (1/x) * Series_Reversion(x/(1+25*x)^(3/5)) )^(1/3).
a(5*n+3) = 0 for n >= 0.
G.f.: 1/B(-x), where B(x) is the g.f. of A385203.