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A187954 Triangle by rows, divisors of odd integers.

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%I A187954 #6 Jul 22 2025 10:57:27
%S A187954 1,1,3,1,0,5,1,0,0,7,1,3,0,0,9,1,0,0,0,0,11,1,0,0,0,0,0,13,1,3,5,0,0,
%T A187954 0,0,15,1,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,19,1,3,0,7,0,0,0,0,0,0,21
%N A187954 Triangle by rows, divisors of odd integers.
%C A187954 Row sums = A008438: (1, 4, 6, 8, 13, 12, 14,...)
%F A187954 Let A = A114000 and B = a diagonalized variant of the odd integers ((1, 3, 5, 7, 9,...) as the right diagonal and the rest zeros). The triangle = A*B as infinite lower triangular matrices.
%e A187954 First few rows of the triangle =
%e A187954 1
%e A187954 1, 3
%e A187954 1, 0, 5
%e A187954 1, 0, 0, 7
%e A187954 1, 3, 0, 0, 9
%e A187954 1, 0, 0, 0, 0, 11
%e A187954 1, 0, 0, 0, 0, 0, 13
%e A187954 1, 3, 5, 0, 0, 0, 0, 15
%e A187954 1, 0, 0, 0, 0, 0, 0, 0, 17
%e A187954 1, 0, 0, 0, 0, 0, 0, 0, 0, 19
%e A187954 1, 3, 0, 7, 0, 0, 0, 0, 0, 0, 21
%e A187954 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23
%e A187954 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25
%e A187954 1, 3, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 27
%e A187954 ...
%e A187954 Example: Row 4 = (1, 3, 0, 0, 9) since the divisors of 9 are (1, 3, and 9).
%Y A187954 Cf. A114000, A008438
%K A187954 nonn,tabl
%O A187954 0,3
%A A187954 _Gary W. Adamson_, Mar 16 2011