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A139088
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G.f. satisfies: 2*A(x) = 5*x - x^2 - 3*Series_Reversion( A(x) ).
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1
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1, 1, 6, 75, 1338, 29610, 762228, 22038705, 700625130, 24149689410, 893830956468, 35275412216850, 1476645034008396, 65297205101393700, 3040249608438530040, 148645372286538383895, 7614315445406159805786, 407837347813468711863270
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| a(n) = (3/2)*(-1)^n*A139087(n) for n>2 with a(1)=a(2)=1.
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EXAMPLE
| G.f.: A(x) = x + x^2 + 6*x^3 + 75*x^4 + 1338*x^5 + 29610*x^6 +...
Series_Reversion(A(x)) = x - x^2 - 4*x^3 - 50*x^4 - 892*x^5 - ...
which equals -G(-x) where G(x) = g.f. of A139087.
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PROG
| (PARI) {a(n)=local(A=x+x^2); if(n<1, 0, for(i=3, n+1, A=A+3*polcoeff(serreverse(A+x*O(x^i)), i)*x^i); polcoeff(A, n))}
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CROSSREFS
| Cf. A139087.
Sequence in context: A069852 A049235 A129031 * A193784 A162863 A126462
Adjacent sequences: A139085 A139086 A139087 * A139089 A139090 A139091
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 08 2008
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