A140704 A051731^3 * A000012.

1, 4, 1, 4, 1, 1, 10, 4, 1, 1, 4, 1, 1, 1, 1, 16, 7, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 20, 10, 4, 4, 1, 1, 1, 1, 10, 4, 4, 1, 1, 1, 1, 1, 1, 16, 7, 4, 4, 4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 40, 22, 13, 7, 4, 4, 1, 1, 1, 1, 1, 1

Offset

1,2

Comments

Row sums = A007430: (1, 5, 6, 16, 8, 30, 10,...).

Left column = A007426: (1, 4, 4, 10, 4, 16, 4,...).

Links

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

Formula

A051731^3 * A000012 as infinite lower triangular matrices, where A051731 = the inverse Mobius transform and A000012 an infinite lower triangular matrix with all 1's.

Example

First few rows of the triangle are:
1;
4, 1;
4, 1, 1;
10, 4, 1, 1;
4, 1, 1, 1, 1;
16, 7, 4, 1, 1, 1;
4, 1, 1, 1, 1, 1, 1;
20, 10, 4, 4, 1, 1, 1, 1;
10, 4, 4, 1, 1, 1, 1, 1, 1;
...

Crossrefs

Cf. A051731, A007430, A007426.

Sequence in context: A165486 A100086 A379061 * A030748 A144865 A096622

Adjacent sequences: A140701 A140702 A140703 * A140705 A140706 A140707

Keyword

nonn,tabl

Author

Gary W. Adamson, May 24 2008

Status

approved