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Search: id:A097718
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| A097718 |
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Coefficients in asymptotic expansion of functional equation solution. |
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+0
1
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| 1, -1, -1, 2, 21, 54, -605, -8422, -17815, 915470, 13791711, -14182158, -3814159811, -55759417546, 472583147387, 33181980839114, 418144112565969, -10448831982433506, -511822958265199817, -4431070683610565086
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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E.g.f. A(x) satisfies A(x)=exp(x(A(x)-2)).
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REFERENCES
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N. G. de Bruijn, Asymptotic Methods in Analysis, Dover, 1981, p. 24.
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FORMULA
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E.g.f.: -LambertW(-x*exp(-2*x))/x. - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 25 2004
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PROGRAM
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(PARI) a(n)=local(A); if(n<0, 0, A=1+O(x); for(k=1, n, A=exp(x*A-2*x)); n!*polcoeff(A, n))
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CROSSREFS
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Sequence in context: A005484 A042455 A074875 this_sequence A075681 A034520 A111128
Adjacent sequences: A097715 A097716 A097717 this_sequence A097719 A097720 A097721
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Aug 22 2004
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