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Search: id:A145347
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| A145347 |
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G.f. satisfies: A(x/A(x)) = 1 + x*A(x)^3. |
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+0
3
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| 1, 1, 4, 26, 220, 2203, 24836, 306104, 4047988, 56713521, 834286612, 12801754120, 203889888832, 3357619794321, 56999146850380, 995081586539016, 17830012791062632, 327376145842252333, 6151225530281186372
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OFFSET
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0,3
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FORMULA
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G.f.: A(x) = 1 + x*G(x)^4 where G(x) = A(x*G(x)) and A(x) = G(x/A(x)).
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EXAMPLE
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G.f.: A(x) = 1 + x + 4*x^2 + 26*x^3 + 220*x^4 + 2203*x^5 + 24836*x^6 +...
A(x)^3 = 1 + 3*x + 15*x^2 + 103*x^3 + 876*x^4 + 8679*x^5 + 96382*x^6 +...
A(x/A(x)) = 1 + x + 3*x^2 + 15*x^3 + 103*x^4 + 876*x^5 + 8679*x^6 +...
A(x) = 1 + x*G(x)^4 where G(x) = A(x*G(x)):
G(x) = 1 + x + 5*x^2 + 39*x^3 + 381*x^4 + 4284*x^5 + 53163*x^6 +...
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PROGRAM
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(PARI) {a(n)=local(F=1+x); for(i=0, n, G=serreverse(x/(F+x*O(x^n))^1)/x; F=1+x*G^4); polcoeff(F, n)}
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CROSSREFS
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Sequence in context: A143436 A135884 A120971 this_sequence A089816 A152407 A105616
Adjacent sequences: A145344 A145345 A145346 this_sequence A145348 A145349 A145350
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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), Nov 09 2008
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