%I
%S 0,1,3,14,30,31,252,508,1020,511,1535,2047,4095,8191,16383,49151,65535
%N a(n) is the earliest term of A353709 with Hamming weight n.
%C This sequence is not strictly increasing.
%H Rémy Sigrist, <a href="/A354041/a354041.txt">C++ program</a>
%F a(n) = A353709(A354040(n)).
%e For n = 3:
%e  the first terms of A353709, alongside their Hamming weight, are:
%e k  0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
%e A353709(k)  0, 1, 2, 4, 8, 3, 16, 12, 32, 17, 6, 40, 64, 5, 10, 48, 65, 14
%e h(A353709(k))  0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3
%e  the first term of A353709 with Hamming weight 3 is A353709(17) = 14,
%e  so a(3) = 14.
%o (C++) See Links section.
%Y Cf. A000120, A353709, A354040.
%K nonn,base,more
%O 0,3
%A _Rémy Sigrist_, May 15 2022
