A185998 Expansion of 1/(1-x-x^2/(1-2x-3x^2/(1-4x-5x^2/(1-6x-7x^2/(1-8x-9x^2/(1-...)))))) (continued fraction).

1, 1, 2, 5, 16, 64, 308, 1727, 11008, 78244, 611060, 5184338, 47366320, 462782080, 4807659368, 52853722811, 612426360832, 7453621425532, 94997205901940, 1264555335831662, 17540102647480336, 252979919852470672, 3786896497867089656, 58733519954606892278, 942372338052077455168

Offset: 0

Author

Paul Barry, Feb 08 2011

Keywords

• nonn
• easy

Comments

First column of A185997. Moment sequence for orthogonal polynomials of A185996. Hankel transform is A057863.

Crossrefs

Cf. A178119.

Formula

G.f.: 1/(1-x/(1-x/(1-x/(1-3x/(1-x/(1-5x/(1-x/(1-7x/(1-x/(1-9x/(1-...))))))))))) (continued fraction).