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Search: id:A143437
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| A143437 |
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G.f. satisfies: A(x) = 1 + x*A(x*A(x))^5. |
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+0
3
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| 1, 1, 5, 40, 405, 4745, 61551, 862050, 12831835, 200874055, 3282575310, 55693595381, 977058059380, 17668078651755, 328497282637520, 6267311264123850, 122498870023756800, 2449635783413544555
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f. satisfies: x - G(x) = G(x)^2*A(x)^5 where G(x*A(x)) = x.
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EXAMPLE
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G.f.: A(x) = 1 + x + 5*x^2 + 40*x^3 + 405*x^4 + 4745*x^5 + 61551*x^6 +...
A(x*A(x)) = 1 + x + 6*x^2 + 55*x^3 + 620*x^4 + 7940*x^5 + 111166*x^6 +...
A(x*A(x))^5 = 1 + 5*x + 40*x^2 + 405*x^3 + 4745*x^4 + 61551*x^5 +...
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PROGRAM
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(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A^5, x, x*A)); polcoeff(A, n)}
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CROSSREFS
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Cf. A143426, A143435, A143436.
Sequence in context: A152601 A079158 A061633 this_sequence A083304 A034000 A000359
Adjacent sequences: A143434 A143435 A143436 this_sequence A143438 A143439 A143440
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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), Aug 14 2008
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