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A139086
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G.f. satisfies: A(x) = 3*x - x^2 - 2*Series_Reversion( A(x) ).
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1
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1, 1, 4, 30, 316, 4116, 62296, 1058418, 19764860, 400070484, 8693577528, 201394483524, 4947738765928, 128383644586440, 3507060528884560, 100587324451979478, 3022202483800235964, 94935204982349494092
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| a(n) = 2*(-1)^n*A139085(n) for n>2 with a(1)=a(2)=1.
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EXAMPLE
| G.f.: A(x) = x + x^2 + 4*x^3 + 30*x^4 + 316*x^5 + 4116*x^6 +...
Series_Reversion(A(x)) = x - x^2 - 2*x^3 - 15*x^4 - 158*x^5 -...
which equals -G(-x) where G(x) = g.f. of A139085.
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PROG
| (PARI) {a(n)=local(A=x+x^2); if(n<1, 0, for(i=3, n+1, A=A+2*polcoeff(serreverse(A+x*O(x^i)), i)*x^i); polcoeff(A, n))}
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CROSSREFS
| Cf. A139085.
Sequence in context: A145348 A052574 A158834 * A180623 A128329 A006149
Adjacent sequences: A139083 A139084 A139085 * A139087 A139088 A139089
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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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