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A137586 Triangle read by rows: A026794 * A054525. 0
1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 5, 1, 0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 1, 10, 3, 1, 0, 0, 0, 0, 1, 16, 3, 1, 1, 0, 0, 0, 0, 1, 21, 5, 2, 1, 0, 0, 0, 0, 0, 1, 29, 7, 3, 1, 1, 0, 0, 0, 0, 0, 1, 40, 10, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 57, 11, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,7

COMMENTS

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15,...) A137585 = A054525 * A026794.

FORMULA

A026794 * A054525, as infinite lower triangular matrices. A026794 = the partition triangle, A054525 = the Mobius transform.

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

1, 0, 1;

2, 0, 0, 1;

3, 1, 0, 0, 1;

5, 1, 0, 0, 0, 1;

7, 2, 1, 0, 0, 0, 1;

10, 3, 1, 0, 0, 0, 0, 1;

16, 3, 1, 1, 0, 0, 0, 0, 1;

...

CROSSREFS

Cf. A000041, A137585, A026794, A054525.

Sequence in context: A077029 A052553 A045847 * A175045 A157608 A145224

Adjacent sequences:  A137583 A137584 A137585 * A137587 A137588 A137589

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 27 2008

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.