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Search: id:A112482
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| A112482 |
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Expansion of the solution of a functional equation. |
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+0
2
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| 1, 1, 1, 2, 4, 8, 17, 38, 87, 203, 482, 1160, 2822, 6930, 17157, 42775, 107300, 270623, 685842, 1745651, 4460450, 11437423, 29421695, 75906148, 196358971, 509209381, 1323524122, 3447340550, 8996802898, 23522607256, 61606041763, 161604774963
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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Series reversion of g.f. A(x) is -A(-x).
Given g.f. A(x) and B(x) = g.f. of A089796, then B(x)=x+A(x*B(x)).
G.f. A(x)=y satisfies 0=y^3+(-x-1)*y^2+(x^2+3*x-1)*y+(-x^3-x^2+x).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<1, 0, A=O(x); for(k=1, n, A=A^3+(-x-1)*A^2+(x^2+3*x)*A+(-x^3-x^2+x)); polcoeff(A, n))}
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CROSSREFS
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Sequence in context: A114199 A006196 A089796 this_sequence A107597 A082499 A100131
Adjacent sequences: A112479 A112480 A112481 this_sequence A112483 A112484 A112485
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Sep 08 2005
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