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A159937 Triangle read by rows, A054525 * A127478, as infinite lower triangular matrices. +0
3
1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 4, 0, 0, 0, 4, 2, 2, 2, 0, 0, 2, 6, 0, 0, 0, 0, 0, 6, 4, 2, 0, 2, 0, 0, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 4 (list; table; graph; listen)
OFFSET

1,4

COMMENT

Row sums = A029935: (1, 2, 4, 5, 8, 8,...). Right and left borders = A000010, phi(n).

FORMULA

A054525 * A127478 = Mobius transform of triangle A127478.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

2, 0, 2;

2, 1, 0, 2;

4, 0, 0, 0, 4;

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

6, 0, 0, 0, 0, 0, 6;

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

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

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

10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;

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

12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12;

6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6;

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

...

CROSSREFS

Cf. A127478, A029935

Sequence in context: A082115 A161553 A099751 this_sequence A058728 A143751 A158950

Adjacent sequences: A159934 A159935 A159936 this_sequence A159938 A159939 A159940

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 26 2009

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Last modified November 21 21:21 EST 2009. Contains 167310 sequences.


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