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A338276 a(n) is the number of odd terms in the n-th column of A334016.

%I A338276 #15 Oct 24 2020 17:19:34
%S A338276 2,2,4,6,6,6,8,10,12,14,12,10,10,10,16,22,22,22,20,18,18,18,16,14,16,
%T A338276 18,20,22,22,22,32,42,44,46,36,26,26,26,32,38,36,34,28,22,22,22,24,26,
%U A338276 26,26,28,30,30,30,32,34,40,46,44,42,42,42,64,86,86,86,68
%N A338276 a(n) is the number of odd terms in the n-th column of A334016.
%C A338276 All terms are even.
%C A338276 Conjecture: a(2^n - 1) = 2^n for n > 0. - _Peter Kagey_, Oct 22 2020
%H A338276 Peter Kagey, <a href="/A338276/b338276.txt">Table of n, a(n) for n = 1..8192</a>
%H A338276 Peter Kagey, <a href="/A334016/a334016_1.png">Parity bitmap of first 2048 rows and 1024 columns of A334016.</a> (Even and odd entries and represented by black and white pixels respectively.)
%e A338276 Table for A334016 begins:
%e A338276 n\k|   1    2     3      4       5        6         7          8
%e A338276 ---+------------------------------------------------------------
%e A338276   1|   1    1     6     35     237     1684     12557      96605
%e A338276   2|   1    4    21    139     978     7239     55423     435550
%e A338276   3|   2   10    65    451    3339    25559    200922    1611624
%e A338276   4|   4   25   179   1337   10325    81716    658918    5394051
%e A338276   5|   8   60   470   3725   30018   245220   2027447   16935981
%e A338276   6|  16  140  1189   9958   83518   703635   5961973   50811786
%e A338276   7|  32  320  2926  25802  224831  1951587  16938814  147261146
%e A338276   8|  64  720  7048  65241  589701  5269220  46826316  415175289
%e A338276 a(1) = 2 because the first column has two odd values: (1,1).
%e A338276 a(2) = 2 because the second column has two odd values: (1,25).
%e A338276 a(3) = 4 because the third column has four odd values: (35,139,451,1337).
%Y A338276 Cf. A334016.
%Y A338276 Cf. A334001 is analogous for A279212.
%K A338276 nonn,look
%O A338276 1,1
%A A338276 _Peter Kagey_, Oct 20 2020