A186001 Expansion of 1/(1-x/(1-x/(1-x/(1-2x/(1-x/(1-4x/(1-x/(1-6x/(1-... (continued fraction).

1, 1, 2, 5, 15, 52, 205, 917, 4658, 26817, 173899, 1257916, 10036409, 87351977, 821268402, 8273013085, 88696718215, 1006586902196, 12037812901733, 151136735414301, 1985815346287906

Offset

0,3

Comments

Hankel transform is A186002.

Links

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

Formula

G.f.: 1/(1-x/(1-x*g(x))), g(x) the g.f. of A004211.

G.f.: 1/(1-x-x^2/(1-2x-2x^2/(1-3x-4x^2/(1-5x-6x^2/(1-7x-8x^2/(1-.... (continued fraction).

a(n) = a(n-1) + Sum_{i=0..n-2} A004211(i)*a(n-1-i) for n > 0.

Crossrefs

Cf. A004211, A186002.

Sequence in context: A336022 A303924 A336021 * A134381 A107589 A249892

Adjacent sequences: A185998 A185999 A186000 * A186002 A186003 A186004

Keyword

nonn,easy

Author

Paul Barry, Feb 09 2011

Status

approved