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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
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
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
Sequence in context: A353651 A326979 A326874 * A344624 A154432 A251391
KEYWORD
nonn
AUTHOR
John W. Layman, May 15 2006
STATUS
approved