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%I #24 Jan 05 2024 14:58:04
%S 1,4,2,6,0,2,12,6,0,3,10,0,0,0,2,24,12,8,0,0,4,14,0,0,0,0,0,2,32,16,0,
%T 8,0,0,0,4,27,0,9,0,0,0,0,0,3,40,20,0,0,8,0,0,0,0,4,22,0,0,0,0,0,0,0,
%U 0,0,2,72,36,24,18,0,12,0,0,0,0,0,6,26,0,0,0,0,0,0,0,0,0,0,0,2,56,28,0,0,0,0,8,0,0,0,0,0,0,4
%N Triangle T(n,m) read by rows: T(n,m) = sigma_0(n) * A126988(n,m).
%C Row sums are {1, 6, 8, 21, 12, 48, 16, 60, 39, 72}.
%H G. C. Greubel, <a href="/A141674/b141674.txt">Rows n = 1..100 of triangle, flattened</a>
%F T(n,m) = sigma_0(n) * A126988(n,m).
%F T(n,m) = sigma_0(n) * if(m = 1, n, if(n mod m = 0, n/m, 0)).
%e Triangle begins
%e { 1},
%e { 4, 2},
%e { 6, 0, 2},
%e {12, 6, 0, 3},
%e {10, 0, 0, 0, 2},
%e {24, 12, 8, 0, 0, 4},
%e {14, 0, 0, 0, 0, 0, 2},
%e {32, 16, 0, 8, 0, 0, 0, 4},
%e {27, 0, 9, 0, 0, 0, 0, 0, 3},
%e {40, 20, 0, 0, 8, 0, 0, 0, 0, 4}
%t t[n_, m_] = DivisorSigma[0, n]*If[m == 1, n, If[Mod[n, m] == 0, n/m, 0]]; Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[%]
%Y Cf. A126988.
%K nonn,tabl,easy,less
%O 1,2
%A _Roger L. Bagula_ and _Gary W. Adamson_, Sep 06 2008
%E Edited by the Associate Editors of the OEIS, Jun 10 2018
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