A153868 Triangle read by rows, A135278 * (A040027 * 0^(n-k)).

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, 651, 847, 523, 8, 28, 168, 630, 1736, 3388, 4184, 2469

Offset

0,2

Comments

Row sums = A040027 starting (1, 3, 9, 31, 121, 523,...).

Sum of n-th row terms = rightmost term of next row.

Links

Table of n, a(n) for n=0..35.

Formula

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

Binomial transform of an infinite lower triangular matrix with A040027.

(starting 1, 1, 3, 9, 31, 121,...) as the main and subdiagonals.

Example

First few rows of the triangle
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, 651, 846, 523;
8, 28, 168, 630, 1736, 3388, 4184, 2469;
...

Crossrefs

Cf. A040027, A135278.

Sequence in context: A035384 A360033 A303974 * A341147 A325335 A262952

Adjacent sequences: A153865 A153866 A153867 * A153869 A153870 A153871

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 03 2009

Status

approved