A301409 - OEIS

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A301409

G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x) - x^2*A(x)/(1 - 2*x*A(x) - 2*x^2*A(x)/(1 - 3*x*A(x) - 3*x^2*A(x)/(1 - ...)))), a continued fraction.

1, 1, 3, 11, 47, 221, 1115, 5947, 33231, 193453, 1169239, 7322827, 47479855, 318661109, 2214609419, 15948123771, 119101155215, 923085573061, 7428862280327, 62094175343547, 538956428549743, 4854974080968669, 45347892277523467, 438688081755797051, 4389356528040108847

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

EXAMPLE

G.f. A(x) = 1 + x + 3*x^2 + 11*x^3 + 47*x^4 + 221*x^5 + 1115*x^6 + 5947*x^7 + 33231*x^8 + ...

CROSSREFS

Cf. A000110, A088368.

Sequence in context: A059284 A118927 A217216 * A295539 A359120 A174347

Adjacent sequences: A301406 A301407 A301408 * A301410 A301411 A301412

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 20 2018

STATUS

approved