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A303341 G.f. A(x) satisfies:  1 = Sum_{n>=1} 1/(1 + (1-x)^n*A(x))^n. 1
1, 3, 11, 65, 627, 8635, 151841, 3201093, 78064047, 2153289963, 66156237717, 2238441322687, 82683598580319, 3310645450697205, 142841757374338175, 6607686055958865593, 326274751783462779979, 17130598829907979986349, 953054142304016947335185, 56011211446092683011029445, 3467635082815081418272829813 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Paul D. Hanna, Table of n, a(n) for n = 0..50

EXAMPLE

G.f.: A(x) = 1 + 3*x + 11*x^2 + 65*x^3 + 627*x^4 + 8635*x^5 + 151841*x^6 + 3201093*x^7 + 78064047*x^8 + 2153289963*x^9 + 66156237717*x^10 + ...

such that

1 = 1/(1 + (1-x)*A(x)) + 1/(1 + (1-x)^2*A(x))^2 + 1/(1 + (1-x)^3*A(x))^3 + 1/(1 + (1-x)^4*A(x))^4 + 1/(1 + (1-x)^5*A(x))^5 + 1/(1 + (1-x)^6*A(x))^6 +...

CROSSREFS

Sequence in context: A233099 A132101 A280775 * A077428 A222765 A173235

Adjacent sequences:  A303338 A303339 A303340 * A303342 A303343 A303344

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 22 2018

STATUS

approved

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Last modified December 16 15:11 EST 2018. Contains 318172 sequences. (Running on oeis4.)