id:A081026 - OEIS Search Results

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Variation on Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) = smallest (n odd) or largest (n even) number > a(n-1) that is a unique sum of two distinct earlier terms.

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1, 2, 3, 5, 6, 11, 12, 23, 24, 47, 48, 95, 96, 191, 192, 383, 384, 767, 768, 1535, 1536, 3071, 3072, 6143, 6144, 12287, 12288, 24575, 24576, 49151, 49152, 98303, 98304, 196607, 196608, 393215, 393216, 786431, 786432, 1572863, 1572864, 3145727 (list; graph; listen)

	OFFSET	`1,2`
	REFERENCES	`Dan Asimov, post to math-fun mailing list, Feb 11, 2003.`
	FORMULA	`Appears that a(2k) = 32^(k-1)-1, a(2k+1) = 32^(k-1) for k >= 1.`
	CROSSREFS	`Cf. A002858, A081025.` `Sequence in context: A083710 A127524 A117086 this_sequence A137808 A091909 A100883` `Adjacent sequences: A081023 A081024 A081025 this_sequence A081027 A081028 A081029`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net), Mar 02 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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