A118374 - OEIS

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A118374

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.

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; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`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 * A154432 A047361 A037461` `Adjacent sequences: A118371 A118372 A118373 * A118375 A118376 A118377`
	KEYWORD	`nonn`
	AUTHOR	`John W. Layman (layman(AT)math.vt.edu), May 15 2006`

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.