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A170922
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a(n) = numerator of the coefficient c(n) of x^n in sqrt(1+x)/Product_{k=1..n-1} 1 + c(k)*x^k, n = 1, 2, 3, ...
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1
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1, -1, 1, -13, 3, -37, 9, -1861, 7, -1491, 93, -81001, 315, -69705, 1083, -63586357, 3855, -438821, 13797, -822684711, 49689, -186369117, 182361, -704368012465, 10485, -10165801275, 619549, -9738266477517, 9256395, -566066862375, 34636833, -140047960975823893
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OFFSET
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1,4
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LINKS
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EXAMPLE
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1/2, -1/8, 1/8, -13/128, 3/32, -37/512, 9/128, -1861/32768, ...
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MAPLE
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L := 34: g := NULL:
t := series(sqrt(1+x), x, L):
for n from 1 to L-2 do
c := coeff(t, x, n);
t := series(t/(1 + c*x^n), x, L);
g := g, c;
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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