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A156837 Triangle read by rows, A051731 * A156348 +0
2
1, 2, 1, 2, 0, 1, 3, 3, 0, 1, 2, 0, 0, 0, 1, 4, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 4, 7, 0, 5, 0, 0, 0, 1, 3, 0, 7, 0, 0, 0, 0, 0, 1, 4, 6, 0, 0, 6, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 12, 14, 11, 0, 7, 0, 0, 0, 0, 0, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Left border = d(n), A000005

Row sums = A156838: (1, 3, 3, 7, 3, 13, 3, 17, 11,...).

Row sums = 3 iff n-th row is prime.

FORMULA

Triangle read by rows, A051731 * A156348 = inverse Mobius transform of A156348

EXAMPLE

First few rows of the triangle =

1;

2, 1;

2, 0, 1;

3, 3, 0, 1;

2, 0, 0, 0, 1;

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

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

4, 7, 0, 5, 0, 0, 0, 1;

3, 0, 7, 0, 0, 0, 0, 0, 1;

4, 6, 0, 0, 6, 0, 0, 0, 0, 1;

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

6, 12, 14, 11, 0, 7, 0, 0, 0, 0, 0, 1;

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

4, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 1;

...

CROSSREFS

Cf. A156348, A051731, A000005, A156838

Sequence in context: A143335 A143365 A099505 this_sequence A129559 A129680 A118231

Adjacent sequences: A156834 A156835 A156836 this_sequence A156838 A156839 A156840

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Mats Granvik (qntmpkt(AT)yahoo.com), Feb 16 2009

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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