A154691 - OEIS

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A154691

Expansion of (1+x+x^2)/((1-x-x^2)(1-x)).

1, 3, 7, 13, 23, 39, 65, 107, 175, 285, 463, 751, 1217, 1971, 3191, 5165, 8359, 13527, 21889, 35419, 57311, 92733, 150047, 242783, 392833, 635619, 1028455, 1664077, 2692535, 4356615, 7049153, 11405771, 18454927, 29860701, 48315631, 78176335 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n+1)-a(n)=A006355(n+3) = A055389(n+3). a(n) = A066629(n-1)+A066629(n). a(n)=A006355(n+4)-3=A078642(n+1)-3.`
	MAPLE	`A := proc(n) coeftayl( (1+x+x^2)/(1-x-x^2)/(1-x), x=0, n) ; end: for n from 0 to 50 do printf("%d, ", A(n)) ; od:`
	MATHEMATICA	`Fibonacci[Range[3, 5! ]]*2-3 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 19 2010]`
	CROSSREFS	`Sequence in context: A136851 A155339 A122886 * A078447 A066624 A061761` `Adjacent sequences: A154688 A154689 A154690 * A154692 A154693 A154694`
	KEYWORD	`easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 14 2009`

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Last modified February 16 06:26 EST 2012. Contains 205860 sequences.