id:A087288 - OEIS Search Results

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a(n)=2a(n-1)+a(n-2)-2a(n-3).

+0
3

4, 4, 10, 16, 34, 64, 130, 256, 514, 1024, 2050, 4096, 8194, 16384, 32770, 65536, 131074, 262144, 524290, 1048576, 2097154, 4194304, 8388610, 16777216, 33554434, 67108864, 134217730, 268435456, 536870914, 1073741824, 2147483650 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n)=(A000051(n)-A014551(n))/2`
	FORMULA	`G.f.: (4-4x-2x^2)/(1-2x-x^2+2x^3). a(n)=2^(n+1)+1+(-1)^n.`
	MATHEMATICA	`CoefficientList[Series[(4 - 4x - 2x^2)/(1 - 2x - x^2 + 2x^3), {x, 0, 30}], x]`
	CROSSREFS	`Sequence in context: A006477 A058596 A050339 this_sequence A095009 A145598 A117881` `Adjacent sequences: A087285 A087286 A087287 this_sequence A087289 A087290 A087291`
	KEYWORD	`nonn`
	AUTHOR	`Mario Catalani (mario.catalani(AT)unito.it), Aug 31 2003`

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

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