cp's OEIS Frontend

A176745 Zero followed by powers of 2 (A131577) and the integers that cannot be represented as a sum of two earlier terms in the sequence.

%I A176745 #13 Mar 06 2020 15:49:30
%S A176745 0,1,2,4,7,8,13,16,19,22,25,28,31,32,37,42,52,64,75,78,81,87,90,93,99,
%T A176745 102,105,108,111,114,126,128,138,149,152,155,161,164,167,173,176,179,
%U A176745 182,185,188,200,212,223,226,229,235,238,241,247,250,253,256,259
%N A176745 Zero followed by powers of 2 (A131577) and the integers that cannot be represented as a sum of two earlier terms in the sequence.
%e A176745 3 is not included in the sequence as it is a sum 2+1 of terms already included. 4 is included because it is a power of two. 5 = 4+1 and 6 = 4+2 are not included. 7 is not a sum of two of the terms 0,1,2,4 already included, so 7 is included. 11 = 7+4 is not included.
%o A176745 (Sage)
%o A176745 def A176745(max) :
%o A176745     res = []
%o A176745     for i in range(max+1) :
%o A176745         if is_power_of_two(i) : res.append(i); continue
%o A176745         for t in res :
%o A176745             if i-t in res : break
%o A176745         else : res.append(i)
%o A176745     return res
%o A176745 # _Eric M. Schmidt_, Jan 26 2013
%Y A176745 Cf. A000079, A131577, A176744.
%K A176745 nonn
%O A176745 0,3
%A A176745 _Vladimir Shevelev_, Apr 25 2010
%E A176745 Sequence corrected and extended, definition and example rewritten by _Eric M. Schmidt_, Jan 26 2013