A152450 - OEIS

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A152450

a(0)=a(1)=1, a(2)=4,a(3)=7, a(n+4)=10*a(n+2)-a(n)

1, 1, 4, 7, 39, 69, 386, 683, 3821, 6761, 37824, 66927, 374419, 662509, 3706366, 6558163, 36689241, 64919121, 363186044, 642633047, 3595171199, 6361411349, 35588525946, 62971480443, 352290088261, 623353393081, 3487312356664 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..26.` `Index to sequences with linear recurrences with constant coefficients, signature (0,10,0,-1).`
	FORMULA	`(1/24(9 + 53^(1/2)2^(1/2) + 62^(1/2) + 23^(1/2))/(3^(1/2)2^(1/2) + 2))(sqrt(3) + sqrt(2))^n + (1/483^(1/2)2^(1/2) + 1/82^(1/2) + 1/4 + 1/63^(1/2))(sqrt(3) - sqrt(2))^n + (1/2) + 1/4 + 1/63^(1/2): c:= 1/24(53^(1/2)2^(1/2) - 62^(1/2) + 9 - 23^(1/2))/(3^(1/2)2^(1/2) + 2))( - sqrt(3) - sqrt(2))^n + (1/483^(1/2)2^(1/2) - 1/82^(1/2) + 1/4 - 1/63^(1/2))( - sqrt(3) + sqrt(2))^n.` `G.f.: (1+x-6x^2-3x^3)/(1-10x^2+x^4). [From Philippe DELEHAM and R. J. Mathar, Dec 04 2008]`
	CROSSREFS	`Sequence in context: A209480 A209339 A212500 * A059213 A093102 A199404` `Adjacent sequences: A152447 A152448 A152449 * A152451 A152452 A152453`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet, Dec 04 2008`
	STATUS	`approved`

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Last modified May 24 21:38 EDT 2013. Contains 225631 sequences.