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Search: id:A136728
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| A136728 |
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E.g.f.: A(x) = [ exp(x)/(4 - 3*exp(x)) ]^(1/4). |
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+0
4
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| 1, 1, 4, 31, 349, 5146, 93799, 2036161, 51283894, 1470035101, 47250248569, 1683031711516, 65800765032589, 2801364476781781, 129003301751229364, 6389120632590635971, 338644807090096148809, 19126604338708282552186
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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)^5 * exp(-x) ).
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PROGRAM
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(PARI) {a(n)=n!*polcoeff((exp(x +x*O(x^n))/(4-3*exp(x +x*O(x^n))))^(1/4), 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^4*exp(-x+x*O(x^n)))); n!*polcoeff(A, n)}
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CROSSREFS
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Cf. variants: A014307, A136727, A136729.
Sequence in context: A107725 A145160 A129271 this_sequence A102757 A145561 A086677
Adjacent sequences: A136725 A136726 A136727 this_sequence A136729 A136730 A136731
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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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