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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.

%I A118374 #11 Apr 24 2013 06:01:29
%S A118374 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,
%T A118374 49,50,51,57,58,59,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
%U A118374 97,98,99,103,104,105,106,107,113,114,115,119,120,121,122,123,124,125
%N 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.
%C A118374 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.
%F A118374 It appears that a(n)=a(n-1)+A119350(n).
%Y A118374 Cf. A114889, A119350.
%K A118374 nonn
%O A118374 1,2
%A A118374 _John W. Layman_, May 15 2006