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A238960 The number of arcs from odd to even level vertices in divisor lattice in graded colexicographic order.

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%I A238960 #19 Apr 25 2020 18:14:05
%S A238960 0,0,1,2,1,3,6,2,5,6,10,16,2,6,8,14,16,26,40,3,8,11,12,18,23,27,36,42,
%T A238960 64,96,3,9,13,15,22,29,32,37,46,58,67,88,102,152,224,4,11,16,19,20,26,
%U A238960 36,41,48,52,56,74,80,93,108,112,140,162,208,240,352,512
%N A238960 The number of arcs from odd to even level vertices in divisor lattice in graded colexicographic order.
%H A238960 Andrew Howroyd, <a href="/A238960/b238960.txt">Table of n, a(n) for n = 0..2713</a> (rows 0..20)
%H A238960 S.-H. Cha, E. G. DuCasse, and L. V. Quintas, <a href="http://arxiv.org/abs/1405.5283">Graph Invariants Based on the Divides Relation and Ordered by Prime Signatures</a>, arXiv:1405.5283 [math.NT], 2014, Table A.1 entry |E_O(S)|.
%F A238960 T(n,k) = A238951(A036035(n,k)).
%F A238960 From _Andrew Howroyd_, Apr 25 2020: (Start)
%F A238960 T(n,k) = floor(A238953(n,k)/2).
%F A238960 T(n,k) = A238953(n,k) - A238959(n,k). (End)
%e A238960 Triangle T(n,k) begins:
%e A238960   0;
%e A238960   0;
%e A238960   1, 2;
%e A238960   1, 3,  6;
%e A238960   2, 5,  6, 10, 16;
%e A238960   2, 6,  8, 14, 16, 26, 40;
%e A238960   3, 8, 11, 12, 18, 23, 27, 36, 42, 64, 96;
%e A238960   ...
%Y A238960 Cf. A238951 in graded colexicographic order.
%Y A238960 Cf. A036035, A238953, A238959, A238973.
%K A238960 nonn,tabf
%O A238960 0,4
%A A238960 _Sung-Hyuk Cha_, Mar 07 2014
%E A238960 Offset changed and terms a(50) and beyond from _Andrew Howroyd_, Apr 25 2020