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A134247 A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1. 1
1, 2, 1, 3, 5, 1, 4, 12, 9, 1, 5, 22, 30, 14, 1, 6, 35, 70, 60, 20, 1, 7, 51, 135, 170, 105, 27, 1, 8, 70, 231, 385, 350, 168, 35, 1, 9, 92, 364, 756, 910, 644, 252, 44, 1, 10, 117, 540, 1344, 2016, 1890, 1092, 360, 54, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = A072863: (1, 3, 9, 26, 72, 192, 496,...).

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Binomial transform of an infinite lower triangular matrix having n-th row = (n-1) zeros followed by T(n), 1, where T(n) = n-th triangular number.

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

3, 5, 1;

4, 12, 9, 1;

5, 22, 30, 14, 1;

6, 35, 70, 60, 20, 1;

7, 51, 135, 170, 105, 27, 1;

...

CROSSREFS

Cf. A072863, A000217.

Sequence in context: A118243 A210233 A134081 * A210225 A180906 A153277

Adjacent sequences:  A134244 A134245 A134246 * A134248 A134249 A134250

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Oct 15 2007

STATUS

approved

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Last modified December 21 10:00 EST 2014. Contains 252303 sequences.