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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A145819 Union of A145812 and A145818 with double repetition of 1, so that a(1)=1, a(2)=1.

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%I A145819 #7 Jun 02 2025 00:41:41
%S A145819 1,1,3,5,9,11,17,21,33,35,41,43,65,69,81,85,129,131,137,139,161,163,
%T A145819 169,171,257,261,273,277,321,325,337,341
%N A145819 Union of A145812 and A145818 with double repetition of 1, so that a(1)=1, a(2)=1.
%C A145819 Theorem. For every even integer m there exists a representation of the form m=a(r)+a(s). If A(x) is the counting function of a(n)<=x, then A(x)=O(sqrt(x))and Omega(sqrt(x)). Conjecture. The sequence is minimal in the following sense: if any sequence has the counting function B(x)<=A(x) for all x>=1 and B(x) < A(x) for x>=x_0, then there exists an even integer N which is not expressible as a sum of two terms of such sequence.
%Y A145819 Cf. A145812, A145818.
%K A145819 nonn
%O A145819 1,3
%A A145819 _Vladimir Shevelev_, Oct 20 2008