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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, 1, 2, 5, 15, 52, 205, 917, 4658, 26817, 173899, 1257916, 10036409, 87351977, 821268402, 8273013085, 88696718215, 1006586902196, 12037812901733, 151136735414301, 1985815346287906 (list; graph; refs; listen; history; text; internal format)
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)=if(n=0,1,a(n-1)+sum{i=0..n-2, A004211(i)*a(n-1-i)}.

CROSSREFS

Sequence in context: A203645 A203646 A000110 * A134381 A107589 A006790

Adjacent sequences:  A185998 A185999 A186000 * A186002 A186003 A186004

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Feb 09 2011

STATUS

approved

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Last modified May 22 14:53 EDT 2013. Contains 225552 sequences.