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A140704 A051731^3 * A000012. +0
2
1, 4, 1, 4, 1, 1, 10, 4, 1, 1, 4, 1, 1, 1, 1, 16, 7, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 20, 10, 4, 4, 1, 1, 1, 1, 10, 4, 4, 1, 1, 1, 1, 1, 1, 16, 7, 4, 4, 4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 40, 22, 13, 7, 4, 4, 1, 1, 1, 1, 1, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A007430: (1, 5, 6, 16, 8, 30, 10,...).

Left column = A007426: (1, 4, 4, 10, 4, 16, 4,...).

FORMULA

A051731^3 * A000012 as infinite lower triangular matrices, where A051731 = the inverse Mobius transform and A000012 an infinite lower triangular matrix with all 1's.

EXAMPLE

First few rows of the triangle are:

1;

4, 1;

4, 1, 1;

10, 4, 1, 1;

4, 1, 1, 1, 1;

16, 7, 4, 1, 1, 1;

4, 1, 1, 1, 1, 1, 1;

20, 10, 4, 4, 1, 1, 1, 1;

10, 4, 4, 1, 1, 1, 1, 1, 1;

...

CROSSREFS

Cf. A051731, A007430, A007426.

Sequence in context: A082999 A010641 A100086 this_sequence A030748 A096622 A080905

Adjacent sequences: A140701 A140702 A140703 this_sequence A140705 A140706 A140707

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 24 2008

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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