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A133734 A000012 * A002865 as a diagonalized matrix. +0
3
1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 4, 1, 0, 1, 1, 2, 2, 4, 4, 1, 0, 1, 1, 2, 2, 4, 4, 7, 1, 0, 1, 1, 2, 2, 4, 4, 7, 8 (list; table; graph; listen)
OFFSET

0,15

COMMENT

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

FORMULA

A000012 * A002865 as a diagonalized matrix, the latter = an infinite lower triangular matrix with A002865: (1, 0, 1, 1, 2, 2, 4, 4, 7, 8,...) as the main diagonal and the rest zeros. Triangle read by rows, n-th row = first (n+1) terms of A002865.

EXAMPLE

First few rows of the triangle are:

1;

1, 0;

1, 0, 1;

1, 0, 1, 1;

1, 0, 1, 1, 2;

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

1, 0, 1, 1, 2, 2, 4;

1, 0, 1, 1, 2, 2, 4, 4;

1, 0, 1, 1, 2, 2, 4, 4, 7;

...

CROSSREFS

Cf. A000041, A002865.

Sequence in context: A054070 A126304 A049455 this_sequence A109702 A115412 A143841

Adjacent sequences: A133731 A133732 A133733 this_sequence A133735 A133736 A133737

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 22 2007

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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