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Search: id:A014619
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| A014619 |
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Exponential generating function is -f(x) * int(exp(exp(-t)-1),t,0,x) where f(x) = exp(1-x-exp(-x)) is an exponential generating function for A014182. |
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+0
3
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| -1, 1, 1, -5, 5, 21, -105, 141, 777, -5513, 13209, 39821, -527525, 2257425, -41511, -70561285, 531862173, -1559180499, -8858267353, 147780183829, -936560917615, 1352130196615, 38710924110081, -487251979381019, 2846575686392251, 872653153712201
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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E.g.f. A(x)=y satisfies y''+y'(2-exp(-x))+y=0. - Michael Somos Mar 11 2004
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FORMULA
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a(n) = Sum_{k=0..n} (-1)^(n-k+1)*Stirling2(n+1, k+1)*A003422(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 06 2005
The sequence b(n) = (-1)^n*a(n) satisfies the recurrence: b(n) = -Sum[i=1..n, b(i-1)*C(n, i) ], b(0)=-1. - Ralf Stephan, Feb 24 2005
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PROGRAM
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(PARI) a(n)=local(A, B); if(n<0, 0, A=exp(-x+x*O(x^n)); B=exp(A-1); n!*polcoeff(-intformal(B)*A/B, n))
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CROSSREFS
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Sequence in context: A147254 A007028 A097336 this_sequence A097016 A090936 A145764
Adjacent sequences: A014616 A014617 A014618 this_sequence A014620 A014621 A014622
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KEYWORD
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sign
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AUTHOR
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Noam Elkies (elkies(AT)math.harvard.edu)
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jun 28 2001
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