id:A118374 - OEIS Search Results

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Lexigraphically earliest positive integer sequence no two terms of which sum to a term of {1,7,23,63,159,...} = {n*2^n-1}, n=1,2,3,... The first differences are given in A119350.

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1, 2, 3, 7, 8, 9, 10, 11, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 30, 31, 41, 42, 43, 47, 48, 49, 50, 51, 57, 58, 59, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 97, 98, 99, 103, 104, 105, 106, 107, 113, 114, 115, 119, 120, 121, 122, 123, 124, 125 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(1)=1 and, for n>1, a(n) is the smallest integer greater than a(n-1) such that a(n)+a(i) is not of the form k*2^k-1 for i=1,..., n-1 and for any integer k>0.`
	FORMULA	`It appears that a(n)=a(n-1)+A119350(n).`
	CROSSREFS	`Cf. A114889, A119350.` `Sequence in context: A100072 A089008 A047534 this_sequence A154432 A047361 A037461` `Adjacent sequences: A118371 A118372 A118373 this_sequence A118375 A118376 A118377`
	KEYWORD	`nonn`
	AUTHOR	`John W. Layman (layman(AT)math.vt.edu), May 15 2006`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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