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A134248 M * A007318, M = a triangle by rows, n-th row = (n-1) zeros followed by T(n), 1. +0
1
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 (list; table; graph; listen)
OFFSET

0,2

COMMENT

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

FORMULA

M * A007318, where M = an infinite lower triangular matrix with rows: n-th row = (n-1) zeros followed by T(n), 1; T(n) = n-th 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: A081281 A108198 A121289 this_sequence A080935 A102661 A121574

Adjacent sequences: A134245 A134246 A134247 this_sequence A134249 A134250 A134251

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 15 2007

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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