A139086 - OEIS

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A139086

G.f. satisfies: A(x) = 3*x - x^2 - 2*Series_Reversion( A(x) ).

1, 1, 4, 30, 316, 4116, 62296, 1058418, 19764860, 400070484, 8693577528, 201394483524, 4947738765928, 128383644586440, 3507060528884560, 100587324451979478, 3022202483800235964, 94935204982349494092 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,3`
	LINKS	`Table of n, a(n) for n=1..18.`
	FORMULA	`a(n) = 2(-1)^nA139085(n) for n>2 with a(1)=a(2)=1.`
	EXAMPLE	`G.f.: A(x) = x + x^2 + 4x^3 + 30x^4 + 316x^5 + 4116x^6 +...` `Series_Reversion(A(x)) = x - x^2 - 2x^3 - 15x^4 - 158*x^5 -...` `which equals -G(-x) where G(x) = g.f. of A139085.`
	PROG	`(PARI) {a(n)=local(A=x+x^2); if(n<1, 0, for(i=3, n+1, A=A+2polcoeff(serreverse(A+xO(x^i)), i)*x^i); polcoeff(A, n))}`
	CROSSREFS	`Cf. A139085.` `Sequence in context: A145348 A052574 A158834 * A243244 A293022 A298244` `Adjacent sequences: A139083 A139084 A139085 * A139087 A139088 A139089`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Apr 08 2008`
	STATUS	`approved`

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Last modified May 20 01:04 EDT 2022. Contains 353847 sequences. (Running on oeis4.)