id:A087945 - OEIS Search Results

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Expansion of (1-2x-x^2)/((1-2x)(1-4x+x^2)).

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1, 4, 14, 50, 182, 670, 2482, 9226, 34358, 128078, 477698, 1782202, 6650086, 24816094, 92610194, 345616490, 1289839382, 4813708270, 17964928162, 67045873306, 250218302918, 933826814078, 3485087904818, 13006522708042 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`First differences of A087944. Binomial transform of A052948(n+1). a(n)=(2/3)A001834+2^n/3.`
	FORMULA	`a(0)=1, a(2)=4, a(2)=14, a(n)=6a(n-1)-9a(n-2)+2a(n-3), n>2; a(n)=(2^n+(1-sqrt(3))(2-sqrt(3))^n+(1+sqrt(3))(2+sqrt(3))^n)/3.`
	CROSSREFS	`Sequence in context: A047008 A047065 A055990 this_sequence A051924 A076024 A062807` `Adjacent sequences: A087942 A087943 A087944 this_sequence A087946 A087947 A087948`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 16 2003`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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