id:A094966 - OEIS Search Results

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Left-hand neighbors of Fibonacci numbers in Stern's diatomic series.

+0
2

0, 1, 1, 3, 3, 8, 8, 21, 21, 55, 55, 144, 144, 377, 377, 987, 987, 2584, 2584, 6765, 6765, 17711, 17711, 46368, 46368, 121393, 121393, 317811, 317811, 832040, 832040, 2178309, 2178309, 5702887, 5702887, 14930352, 14930352, 39088169, 39088169 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Fib(2n) repeated. a(n) is the left neighbor of Fib(n+2) in A002487 and A049456. A000045(n+2)=a(n)+A094967(n).`
	FORMULA	`G.f. : x(1+x)/(1-3x^2+x^4); a(n)=Fib(n)(1+(-1)^n)/2+fib(n+1)(1-(-1)^n)/2.`
	CROSSREFS	`Cf. A001906.` `Sequence in context: A138135 A113166 A126872 this_sequence A095068 A021299 A135477` `Adjacent sequences: A094963 A094964 A094965 this_sequence A094967 A094968 A094969`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 26 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

AT&T Labs Research