A143320 Triangle read by rows, A000012 * A143317; 1<=k<=n.

1, 4, -1, 8, -1, -1, 15, -4, -1, 0, 21, -4, -1, 0, -1, 33, -8, -4, 0, -1, 1, 41, -8, -4, 0, -1, 1, -1, 56, -15, -4, 0, -1, 1, -1, 0, 69, -15, -8, 0, -1, 1, -1, 0, 0, 87, -21, -8, 0, -4, 1, -1, 0, 0, 1, 99, -21, -8, 0, -4, 1, -1, 0, 0, 1, -1, 127, -33, -15, 0, -4, 4, -1, 0, 0, 1, -1, 0

Offset

1,2

Comments

Left border = A024916: (1, 4, 8, 15, 21, 33,...).

Right border = mu(n), A008683.

Row sums = T(n), triangular numbers.

Links

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

Formula

Triangle read by rows, A000012 * A143317; 1<=k<=n

Example

First few rows of the triangle =
1;
4, -1;
8, -1, -1
15, -4, -1, 0;
21, -4, -1, 0, -1;
33, -8, -4, 0, -1, 1;
41, -3, -4, 0, -1, 1, -1;
...

Crossrefs

Cf. A143317, A008683, A024916.

Sequence in context: A294791 A084884 A329998 * A089146 A297402 A239666

Adjacent sequences: A143317 A143318 A143319 * A143321 A143322 A143323

Keyword

sign,tabl

Author

Gary W. Adamson, Aug 07 2008

Extensions

Corrected last few terms. - Stuart Orford (sjorford(AT)gmail.com), Dec 22 2008

Status

approved