id:A078446 - OEIS Search Results

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a(1)=a(2)=1; a(n)=a(n-2)/2 if a(n-2) is even, a(n)=a(n-1)+a(n-2) otherwise.

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1, 1, 2, 3, 1, 4, 5, 2, 7, 1, 8, 9, 4, 13, 2, 15, 1, 16, 17, 8, 25, 4, 29, 2, 31, 1, 32, 33, 16, 49, 8, 57, 4, 61, 2, 63, 1, 64, 65, 32, 97, 16, 113, 8, 121, 4, 125, 2, 127, 1, 128, 129, 64, 193, 32, 225, 16, 241, 8, 249, 4, 253, 2, 255, 1, 256, 257, 128, 385, 64, 449, 32, 481, 16, 497 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`The following sequences all have the same parity: A004737, A006590, A027052, A071028, A071797, A078358, A078446. - Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Mar 16 2003`
	FORMULA	`a(n^2)=2^n-1; a(n^2+1)=1; a(n^2+2)=2^n; a(n^2+3)=2^n+1; a(n^2+4)=2^(n-1); a(n^2+5)=32^n+1 ...; inequality : a(n)/2^sqrt(n) <2` `Sum(k=1, n^2, a(k)) = 2(n-2)2^n + n(n+1)/2 + 4`
	CROSSREFS	`Sequence in context: A131225 A137671 A026370 this_sequence A055447 A055448 A055449` `Adjacent sequences: A078443 A078444 A078445 this_sequence A078447 A078448 A078449`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 31 2002`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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