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A130162 A051731 * A000837 as a diagonalized matrix. 1
1, 1, 1, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 0, 6, 1, 1, 2, 0, 0, 7, 1, 0, 0, 0, 0, 0, 14, 1, 1, 0, 3, 0, 0, 0, 17, 1, 0, 2, 0, 0, 0, 0, 0, 27, 1, 1, 0, 0, 6, 0, 0, 0, 0, 34 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,6

COMMENTS

Right border = A000837. Row sums = partition numbers A000041 starting (1, 2, 3, 5, 7,...).

FORMULA

A051731 * A000837 as a diagonalized matrix M, where M = T(n,k) = A000837(n) * 0^(n-k), 1<=k<=n; i.e. (1; 0,1; 0,0,2; 0,0,0,3; 0,0,0,0,6;...). A051731 = inverse Mobius transform.

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

1, 0, 2;

1, 1, 0, 3;

1, 0, 0, 0, 6;

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

1, 0, 0, 0, 0, 0, 14;

1, 1, 0, 3, 0, 0, 0, 17;

...

CROSSREFS

Cf. A051731, A000837, A000041.

Sequence in context: A152434 A143810 A128589 * A175595 A175417 A136481

Adjacent sequences:  A130159 A130160 A130161 * A130163 A130164 A130165

KEYWORD

nonn,tabl,more

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 13 2007

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.