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

0,3

Comments

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

Links

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

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).

Crossrefs

Cf. A178119.

Sequence in context: A379082 A295131 A178119 * A127083 A131178 A003149

Adjacent sequences: A185995 A185996 A185997 * A185999 A186000 A186001

Keyword

nonn,easy

Author

Paul Barry, Feb 08 2011

Status

approved