id:A083336 - OEIS Search Results

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a(n)=4a(n-2)-a(n-4).

+0
2

3, 3, 9, 12, 33, 45, 123, 168, 459, 627, 1713, 2340, 6393, 8733, 23859, 32592, 89043, 121635, 332313, 453948, 1240209, 1694157, 4628523, 6322680, 17273883, 23596563, 64467009, 88063572, 240594153, 328657725, 897909603 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n)/A002531(n+1) converges to sqrt(3). a(2n)=A082841(n). a(2n)=a(2n-1)+ 3A002531(2n). a(2n+1)=(1/2)(a(2n)+3A002531(2n+1)).`
	FORMULA	`G.f.: (3+3x-3x^2)/(1-4x^2+x^4)`
	MATHEMATICA	`CoefficientList[Series[(3+3x-3x^2)/(1-4x^2+x^4), {x, 0, 30}], x]`
	CROSSREFS	`Sequence in context: A045810 A166720 A066314 this_sequence A091328 A138383 A052436` `Adjacent sequences: A083333 A083334 A083335 this_sequence A083337 A083338 A083339`
	KEYWORD	`easy,nonn`
	AUTHOR	`Mario Catalani (mario.catalani(AT)unito.it), Apr 26 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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