A118374 - OEIS

A118374

Lexicographically 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

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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.

LINKS

Table of n, a(n) for n=1..66.

FORMULA

It appears that a(n)=a(n-1)+A119350(n).

CROSSREFS

Cf. A114889, A119350.

Sequence in context: A353651 A326979 A326874 * A344624 A154432 A251391

Adjacent sequences: A118371 A118372 A118373 * A118375 A118376 A118377

KEYWORD

nonn

AUTHOR

John W. Layman, May 15 2006

STATUS

approved