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A171779
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E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} -log(1 - k(k+1)x/2).
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1
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1, 1, 4, 38, 693, 21294, 1011792, 69920766, 6710698740, 862907887944, 144436271624388, 30735209866458888, 8152133649148990080, 2650418681465362135392, 1041182371767985227729504
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OFFSET
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0,3
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LINKS
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 4x^2/2! + 38x^3/3! + 693x^4/4! + 21294x^5/5! +...
A(x) = 1 - log(1-x) + log(1-x)*log(1-3x)/2! - log(1-x)*log(1-3x)*log(1-6x)/3! +...
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PROG
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(PARI) {a(n)=n!*polcoeff(1+sum(j=1, n, (1/j!)*prod(k=1, j, -log(1-k*(k+1)/2*x +x*O(x^n)))), n)}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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