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A143614 Triangle read by rows, A054521 * A051731, 1<=k<=n. +0
2
1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 4, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 6, 3, 2, 1, 1, 1, 0, 4, 0, 1, 0, 1, 0, 1, 0, 6, 3, 0, 2, 1, 0, 1, 1, 0, 4, 0, 2, 0, 0, 0, 1, 0, 1, 0, 10, 5, 3, 2, 2, 1, 1, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 12, 6, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 6, 0, 2, 0, 10, 0, 0, 1, 0, 10, 1, 0 (list; table; graph; listen)
OFFSET

1,4

COMMENT

Left border = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6,...).

Row sums = A143615: (1, 1, 3, 3, 8, 3, 14, 7,...).

FORMULA

Triangle read by rows, A054521 * A051731, 1<=k<=n. A054521 records the relative primes of n, indicated by a 1's in row n, 0 otherwise. A051731 = the inverse Mobius transform, in which 1's by rows indicate the divisors of n, 0 otherwise.

EXAMPLE

First few rows of the triangle =

1;

1, 0;

2, 1, 0;

2, 0, 1, 0;

4, 2, 1, 1, 0;

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

6, 3, 2, 1, 1, 1, 0;

4, 0, 1, 0, 1, 0, 1, 0;

6, 3, 0, 2, 1, 0, 1, 1, 0;

...

CROSSREFS

Cf. A051731, A054521, A000010, A143615.

Sequence in context: A033768 A033786 A137696 this_sequence A071412 A080884 A091392

Adjacent sequences: A143611 A143612 A143613 this_sequence A143615 A143616 A143617

KEYWORD

nonn,tabl

AUTHOR

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

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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