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%I #5 Apr 26 2021 14:53:12
%S 1,2,1,3,3,3,4,6,12,9,5,10,30,45,31,6,15,60,135,186,121,7,21,105,315,
%T 651,847,523,8,28,168,630,1736,3388,4184,2469
%N Triangle read by rows, A135278 * (A040027 * 0^(n-k)).
%C Row sums = A040027 starting (1, 3, 9, 31, 121, 523,...).
%C Sum of n-th row terms = rightmost term of next row.
%F Triangle read by rows, A135278 * (A040027 * 0^(n-k)).
%F Binomial transform of an infinite lower triangular matrix with A040027.
%F (starting 1, 1, 3, 9, 31, 121,...) as the main and subdiagonals.
%e First few rows of the triangle
%e 1;
%e 2, 1;
%e 3, 3, 3;
%e 4, 6, 12, 9;
%e 5, 10, 30, 45, 31;
%e 6, 15, 60, 135, 186, 121;
%e 7, 21, 105, 315, 651, 846, 523;
%e 8, 28, 168, 630, 1736, 3388, 4184, 2469;
%e ...
%Y Cf. A040027, A135278.
%K nonn,tabl
%O 0,2
%A _Gary W. Adamson_, Jan 03 2009
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