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A134249 (M * A000012 + A000012 * M) - A000012. +0
3
1, 3, 1, 5, 7, 1, 8, 10, 13, 1, 12, 14, 17, 21, 1, 17, 19, 22, 26, 31, 1, 23, 25, 28, 32, 37, 43, 1, 30, 32, 35, 39, 44, 50, 57, 1, 38, 40, 43, 47, 52, 58, 65, 73, 1, 47, 49, 52, 56, 61, 67, 74, 82, 91, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A037235: (1, 4, 13, 32, 65, 116,...). Left column = A134250: (1, 3, 5, 8, 12, 17, 23,...).

FORMULA

(M * A000012 + A000012 * M) - A000012; where M = an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and the triangular series in the subdiagonal. A000012 = (1; 1,1; 1,1,1;...).

EXAMPLE

First few rows of the triangle are:

1;

3, 1;

5, 7, 1;

8, 10, 13, 1;

12, 14, 17, 21, 1;

17, 19, 22, 26, 31, 1;

23, 25, 28, 32, 37, 43, 1;

...

CROSSREFS

Cf. A037235, A134250.

Sequence in context: A130418 A038871 A143524 this_sequence A001607 A077020 A107920

Adjacent sequences: A134246 A134247 A134248 this_sequence A134250 A134251 A134252

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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