A143312 Triangle read by rows, A054525 * A143311, 1<=k<=n.

1, 3, 2, 8, 0, 3, 12, 6, 0, 4, 24, 0, 0, 0, 5, 24, 16, 9, 0, 0, 6, 48, 0, 0, 0, 0, 0, 7, 48, 24, 0, 12, 0, 0, 0, 8, 72, 0, 24, 0, 0, 0, 0, 0, 9, 72, 48, 0, 0, 15, 0, 0, 0, 0, 10, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 96, 48, 36, 32, 0, 18, 0, 0, 0, 0, 0, 12, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13

Offset

1,2

Comments

Left border = A007434.

Row sums = A069097: (1, 5, 11, 2, 29, 55,...)

Links

Table of n, a(n) for n=1..91.

Formula

Mobius transform of triangle A143311

Example

First few rows of the triangle =
1;
3, 2;
8, 0, 3;
12, 6, 0, 4;
24, 0, 0, 0, 5;
24, 16, 9, 0, 0, 6;
48, 0, 0, 0, 0, 0, 7;
48, 24, 0, 12, 0, 0, 0, 8;
...

Crossrefs

Cf. A054525, A143311, A007434, A069097.

Sequence in context: A265009 A358656 A021757 * A224234 A305368 A197412

Adjacent sequences: A143309 A143310 A143311 * A143313 A143314 A143315

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 06 2008

Status

approved