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Search: id:A138314
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| A138314 |
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E.g.f. satisfies: A(x) = exp( Sum_{n>=0} a(n)*x^(2n+1)/(2n+1)! ). |
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+0
2
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| 1, 1, 1, 2, 5, 12, 37, 129, 465, 1912, 8449, 39481, 200081, 1069470, 6043361, 36120082, 226063729, 1484564600, 10184907985, 72814137773, 542009067393, 4188018707130, 33562233856177, 278441210021464, 2387929437251657
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OFFSET
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0,4
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EXAMPLE
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E.g.f.: A(x) = 1 + x + x^2/2! + 2*x^3/3! + 5*x^4/4! + 12*x^5/5! + 37*x^6/6! +...
Log(A(x)) = x + x^3/3! + x^5/5! + 2*x^7/7! + 5*x^9/9! + 12*x^11/11! + 37*x^13/13! +...
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PROGRAM
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(PARI) {a(n)=local(A=if(n==0, x, sum(k=0, n\2, a(k)*x^(2*k+1)/(2*k+1)!))); n!*polcoeff(exp(A+x*O(x^n)), n)}
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CROSSREFS
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Sequence in context: A002216 A024717 A003724 this_sequence A115277 A130221 A036782
Adjacent sequences: A138311 A138312 A138313 this_sequence A138315 A138316 A138317
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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), Mar 13 2008
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