id:A081554 - OEIS Search Results

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a(n)=sqrt(2)((3+2sqrt(2))^n-(3-2sqrt(2))^n).

+0
2

0, 8, 48, 280, 1632, 9512, 55440, 323128, 1883328, 10976840, 63977712, 372889432, 2173358880, 12667263848, 73830224208, 430314081400, 2508054264192, 14618011503752, 85200014758320, 496582077046168, 2894292447518688 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(n)^2=2A003499(n)^2-8. a(n)=8A001109.`
	LINKS	`Tanya Khovanova, Recursive Sequences`
	MATHEMATICA	`a = 3 + 2Sqrt[2]; b = 3 - 2Sqrt[2]; Table[Simplify[Sqrt[2](a^n - b^n)], {n, 0, 25}]`
	CROSSREFS	`Sequence in context: A026706 A128734 A006321 this_sequence A079743 A079765 A079744` `Adjacent sequences: A081551 A081552 A081553 this_sequence A081555 A081556 A081557`
	KEYWORD	`easy,nonn`
	AUTHOR	`Mario Catalani (mario.catalani(AT)unito.it), Mar 21 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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