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A153868 Triangle read by rows, A135278 * (A040027 * 0^(n-k)) 1
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 (list; table; graph; refs; listen; history; internal format)
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.

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

Sequence in context: A105637 A029161 A035384 * A066328 A097686 A082666

Adjacent sequences:  A153865 A153866 A153867 * A153869 A153870 A153871

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 03 2009

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Last modified February 13 10:20 EST 2012. Contains 205451 sequences.