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

Author

Paul Barry, May 20 2010

Keywords

• easy
• nonn

Comments

Hankel transform is A057863. First column of A178121.

Examples

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

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