login
Triangle read by rows, A135278 * (A040027 * 0^(n-k)).
1

%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