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%I #35 May 14 2017 11:26:53
%S 1,2,3,4,5,7,8,9,11,12,13,15,16,17,20,21,22,24,25,27,29,30,31,33,35,
%T 36,38,40,41,44,45,46,48,49,52,54,55,56,58,60,61,64,65,66,70,71,72,74,
%U 76,78,80,81,82,85,87,89,91,92,93,96,97,98,102,103,105,108,109,110,112,115,116,119,120,121,124,125,128,130
%N Total number of partitions of all positive integers <= n into an odd number of consecutive parts.
%C a(n) is also the total number of odd divisors of k less than sqrt(2*k), for k = 1..n.
%C Conjecture: a(n) is also the total number of subparts present (totally or partially) in an octant of the symmetric representations of sigma of all positive integers <= n.
%C For more information about the "subparts" of the symmetric representation of sigma see A279387 and A237593.
%F a(n) = A060831(n) - A285902(n).
%Y Partial sums of A082647.
%Y Cf. A001227, A060831, A131576, A196020, A235791, A236104, A237048, A237591, A237593, A244250, A262618, A279387, A285902.
%K nonn
%O 1,2
%A _Omar E. Pol_, May 02 2017
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