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Search: id:A135751
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| A135751 |
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E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} -log(1 - kx). |
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+0
1
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| 1, 1, 3, 17, 154, 2024, 36188, 841196, 24583200, 880119000, 37813650672, 1917155945616, 113110111375776, 7674684562897728, 592864081434168672, 51688751369089356864, 5047456043997923498496, 548361788269165389069312
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 3x^2/2! + 17x^3/3! + 154x^4/4! +2024x^5/5! +...
A(x) = 1 - log(1-x) + log(1-x)*log(1-2x)/2! - log(1-x)*log(1-2x)*log(1-3x)/3! +...
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PROGRAM
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(PARI) {a(n)=n!*polcoeff(1+sum(j=1, n, (1/j!)*prod(k=1, j, -log(1-k*x +x*O(x^n)))), n)}
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CROSSREFS
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Sequence in context: A075820 A145081 A020562 this_sequence A001469 A110501 A066211
Adjacent sequences: A135748 A135749 A135750 this_sequence A135752 A135753 A135754
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
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