A159937 Triangle read by rows, A054525 * A127478, as infinite lower triangular matrices.

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

Offset

1,4

Comments

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

Links

Table of n, a(n) for n=1..78.

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: A366444 A256232 A099751 * A058728 A143751 A353322

Adjacent sequences: A159934 A159935 A159936 * A159938 A159939 A159940

Keyword

nonn,tabl

Author

Gary W. Adamson, Apr 26 2009

Status

approved