

A134247


A007318 * triangle by rows, nth row = (n1) 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
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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 nth row = (n1) zeros followed by T(n), 1, where T(n) = nth 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



