A186001 - OEIS

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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, 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-xg(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: A292935 A000110 A303924 * A134381 A107589 A249892` `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 January 16 23:44 EST 2019. Contains 319206 sequences. (Running on oeis4.)