

A134248


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


0



1, 2, 1, 4, 5, 1, 7, 15, 9, 1, 11, 34, 36, 14, 1, 16, 65, 100, 70, 20, 1, 22, 111, 225, 230, 120, 27, 129, 175, 441, 595, 455, 189, 35, 1, 37, 260, 784, 1316, 1330, 812, 280, 44, 1, 46, 369, 1296, 2604, 3276, 2646, 1344, 396, 54, 1
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OFFSET

0,2


COMMENTS

Row sums = A104270: (1, 3, 10, 32, 96, 172,...). Left column = A000124.


LINKS

Table of n, a(n) for n=0..53.


FORMULA

M * A007318, where M = an infinite lower triangular matrix with rows: nth row = (n1) zeros followed by T(n), 1; T(n) = nth triangular number. M = an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and the triangular series in the subdiagonal.


EXAMPLE

First few rows of the triangle are:
1;
2, 1;
4, 5, 1;
7, 15, 9, 1;
11, 34, 36, 14, 1;
16, 65, 100, 70, 20, 1;
...


CROSSREFS

Cf. A104270, A000124, A000217.
Sequence in context: A321000 A121289 A211561 * A248670 A080935 A102661
Adjacent sequences: A134245 A134246 A134247 * A134249 A134250 A134251


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Oct 15 2007


STATUS

approved



