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Search: id:A143137
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| A143137 |
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E.g.f. satisfies A(x) = sinh(x + A(x)^2). |
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+0
3
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| 1, 2, 13, 140, 2101, 40502, 954073, 26557400, 852911401, 31042592042, 1262704455013, 56767589130980, 2795116027239901, 149590982933830622, 8646295934108179633, 536766403519254357680, 35620604244949591333201
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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E.g.f.: A(x) = sinh(G(x)) where G(x) = Series_Reversion( x - sinh(x)^2 ) is the e.g.f. of A143136.
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EXAMPLE
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A(x) = x + 2*x^2/2! + 13*x^3/3! + 140*x^4/4! + 2101*x^5/5! +...
A(x) = sinh(G(x)) where G(x) is the e.g.f. of A143136:
G(x) = x + 2*x^2/2! + 12*x^3/3! + 128*x^4/4! + 1920*x^5/5! +...
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PROGRAM
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(PARI) {a(n)=n!*polcoeff(sinh(serreverse(x-sinh(x+x*O(x^n))^2)), n)}
(PARI) {a(n)=local(A=x); for(i=0, n, A=x + sinh(A)^2); n!*polcoeff(sinh(A), n)}
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CROSSREFS
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Cf. A143135, A143136.
Sequence in context: A047856 A152059 A132063 this_sequence A003414 A003326 A003581
Adjacent sequences: A143134 A143135 A143136 this_sequence A143138 A143139 A143140
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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), Jul 27 2008
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