A291419 G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies A(x) = 1/(1 - a(0)*x^a(0)/(1 - a(1)*x^a(1)/(1 - a(2)*x^a(2)/(1 - ...)))), a continued fraction.

1, 1, 2, 4, 10, 24, 60, 148, 376, 944, 2392, 6032, 15280, 38608, 97728, 247104, 625312, 1581568, 4001680, 10122624, 25610368, 64787520, 163907904, 414654848, 1049031104, 2653873152, 6713958912, 16985280000, 42970438432, 108708830336, 275018076928, 695755635328, 1760162851328

Offset

0,3

Links

Table of n, a(n) for n=0..32.

Example

G.f. = 1 + x + 2*x^2 + 4*x^3 + 10*x^4 + 24*x^5 + 60*x^6 + ... = 1/(1 - x/(1 - x/(1 - 2*x^2/(1 - 4*x^4/(1 - 10*x^10/(1 - ...)))))).

Crossrefs

Cf. A213411, A213435.

Sequence in context: A052987 A349365 A100087 * A088354 A329673 A055919

Adjacent sequences: A291416 A291417 A291418 * A291420 A291421 A291422

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 23 2017

Status

approved