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%I #15 Jun 27 2023 09:24:38
%S 1,1,2,1,0,4,1,2,0,5,1,0,0,0,9,1,2,4,0,0,7,1,0,0,0,0,0,15,1,2,0,5,0,0,
%T 0,12,1,0,4,0,0,0,0,0,18,1,2,0,0,9,0,0,0,0,15,1,0,0,0,0,0,0,0,0,0,28,
%U 1,2,4,5,0,7,0,0,0,0,0,16
%N Triangle read by rows, inverse Möbius transform of a diagonalized matrix of A116477.
%C For n-th row of the triangle, the inverse Möbius transform extracts A116477(k) such that k divides n; 0 otherwise.
%C Row sums = A006218: (1, 3, 5, 8, 10, 14, 16, ...).
%F Triangle read by rows, A051731 * (A116477 * 0^(n-k)); 1 <= k <= n.
%e First few rows of the triangle:
%e 1;
%e 1, 2;
%e 1, 0, 4;
%e 1, 2, 0, 5;
%e 1, 0, 0, 0, 9;
%e 1, 2, 4, 0, 0, 7;
%e 1, 0, 0, 0, 0, 0, 15;
%e 1, 2, 0, 5, 0, 0, 0, 12;
%e ...
%e Example: The divisors of 8 are (1, 2, 4, 8) so row 8 = (1, 2, 0, 5, 0, 0, 0, 12).
%Y Cf. A006218, A051731, A116477.
%K nonn,tabl
%O 1,3
%A _Gary W. Adamson_, Aug 29 2008
%E Diagonal sequence corrected to A116477 by _Georg Fischer_, Jun 27 2023
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