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Search: id:A136729
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| A136729 |
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E.g.f.: A(x) = [ exp(x)/(5 - 4*exp(x)) ]^(1/5). |
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+0
4
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| 1, 1, 5, 49, 701, 13177, 306821, 8520289, 274808525, 10095533833, 416131518293, 19017974164465, 954399901374749, 52173428322993433, 3085965087129209381, 196360349627069553793, 13374490368820471936109, 970904530181260115741737
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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E.g.f. A(x) satisfies: A(x) = 1 + integral( A(x)^6 * exp(-x) ).
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PROGRAM
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(PARI) {a(n)=n!*polcoeff((exp(x +x*O(x^n))/(5-4*exp(x +x*O(x^n))))^(1/5), n)} (PARI) /* As solution to integral equation: */ {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+intformal(A^6*exp(-x+x*O(x^n)))); n!*polcoeff(A, n)}
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CROSSREFS
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Cf. variants: A014307, A136727, A136728.
Sequence in context: A116873 A089914 A052142 this_sequence A102773 A028575 A006554
Adjacent sequences: A136726 A136727 A136728 this_sequence A136730 A136731 A136732
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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), Jan 24 2008
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