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A143613 Triangle read by rows, A051731 * A127368, 1<=k<=n. +0
2
1, 2, 0, 2, 2, 0, 3, 0, 3, 0, 2, 2, 3, 4, 0, 4, 2, 0, 0, 5, 0, 2, 2, 3, 4, 5, 6, 0, 4, 0, 6, 0, 5, 0, 7, 0, 3, 4, 0, 4, 5, 0, 7, 8, 0, 4, 2, 6, 4, 0, 0, 7, 0, 9, 0, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 6, 2, 3, 0, 10, 0, 7, 0, 0, 0, 11, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Left border = d(n).

Row sums = A057661: (1, 2, 4, 6, 11, 11, 22, 22, 31,...).

FORMULA

Triangle read by rows, A051731 * A127368, 1<=k<=n. A051731 = the inverse Mobius transform. A127368 records the reduced residue system mod n, by rows.

EXAMPLE

First few rows of the triangle =

1;

2, 0;

2, 2, 0;

3, 0, 3, 0;

2, 2, 3, 4, 0;

4, 2, 0, 0, 5, 0;

2, 2, 3, 4, 5, 6, 0;

...

CROSSREFS

Cf. A127368, A051731, A057661, A000005.

Sequence in context: A029317 A127800 A035692 this_sequence A121363 A138021 A166065

Adjacent sequences: A143610 A143611 A143612 this_sequence A143614 A143615 A143616

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 27 2008

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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