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A127375 Triangle, row sums = sum of gcd(k,n) for 1<=k<=n; left column = sigma(n). +0
2
1, 3, 0, 4, 1, 0, 7, 0, 1, 0, 6, 1, 1, 1, 0, 12, 0, 0, 1, 0, 8, 1, 1, 1, 1, 1, 0, 15, 0, 3, 0, 1, 0, 1, 0, 13, 4, 0, 1, 1, 0, 1, 1, 0, 18, 2, 3, 2, 0, 0, 1, 0, 1, 0 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Left column = sigma(n), A000203: (1, 3, 4, 7, 6, 12...); row sums = A018804, sum of gcd(k,n) for 1<=k<=n: (1,3, 5, 8, 9, 15, 13,..)

FORMULA

A126988 * A054521, as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

3, 0;

4, 1, 0;

7, 0, 1, 0;

6, 1, 1, 1, 0;

12, 2, 0, 0, 1, 0;

8, 1, 1, 1, 1, 1, 0;

...

CROSSREFS

Cf. A126988, A054521, A018804, A000203.

Sequence in context: A060034 A035544 A129718 this_sequence A138376 A077140 A003815

Adjacent sequences: A127372 A127373 A127374 this_sequence A127376 A127377 A127378

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 12 2007

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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