A178119 Expansion of 1/(1-2x-x^2/(1-4x-3x^2/(1-6x-5x^2/(1-8x-7x^2/(1-...))))) (continued fraction).

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

Offset

0,2

Comments

Hankel transform is A057863. First column of A178121.

Links

Table of n, a(n) for n=0..20.

Formula

G.f.: 1/(Q(0)-x) where Q(k) = 1 - x*(2*k+1)/( 1 - x/Q(k+1) ); (continued fraction ). - Sergei N. Gladkovskii, Mar 22 2013

Example

G.f. = 1 + 2*x + 5*x^2 + 16*x^3 + 64*x^4 + 308*x^5 + 1727*x^6 + 11008*x^7 + ...

Crossrefs

Sequence in context: A000112 A205498 A295131 * A185998 A127083 A131178

Adjacent sequences: A178116 A178117 A178118 * A178120 A178121 A178122

Keyword

easy,nonn

Author

Paul Barry, May 20 2010

Status

approved