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A133727 A051731 * A007438 as a diagonalized matrix. 0
1, 1, 2, 1, 0, 5, 1, 2, 0, 7, 1, 0, 0, 0, 14, 1, 2, 5, 0, 0, 13, 1, 0, 0, 0, 0, 0, 27, 1, 2, 0, 7, 0, 0, 0, 26, 1, 0, 5, 0, 0, 0, 0, 0, 39, 1, 2, 0, 0, 14, 0, 0, 0, 0, 38 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Row sums = the triangular numbers: (1, 3, 6, 10, 15,...). Right diagonal = A007438.

FORMULA

Inverse Mobius transform of A007438 as a diagonalized matrix; i.e. A051731 * (1; 0,2 0,0,5; 0,0,0,7;...) where A007438 = (1, 2, 5, 7, 14, 13, 27,...), the Mobius transform of the triangular numbers.

EXAMPLE

First few rows of the triangle are:

1;

1, 2;

1, 0, 5;

1, 2, 0, 7;

1, 0, 0, 0, 14;

1, 2, 5, 0, 0, 13;

1, 0, 0, 0, 0, 0, 27;

...

CROSSREFS

Cf. A007438, A051731.

Sequence in context: A113469 A060137 A143445 * A103185 A130513 A114596

Adjacent sequences:  A133724 A133725 A133726 * A133728 A133729 A133730

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 21 2007

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.