A143130 Triangle read by rows, A000012 * (A000332 * 0^(n-k)) * A000012, 0<=k<=n.

1, 6, 5, 21, 20, 15, 56, 55, 50, 35, 126, 125, 120, 105, 70, 252, 251, 246, 231, 196, 126, 462, 461, 456, 441, 406, 336, 210, 792, 791, 786, 771, 736, 666, 540, 330, 1287, 1286, 1281, 1266, 1231, 1161, 1035, 825, 495, 2002, 2001, 1996, 1981, 1946, 1876, 1750

Offset

1,2

Comments

Row sums = A051946: (1, 11, 56, 196, 546, 1302,...).

Links

Table of n, a(n) for n=1..52.

Formula

Triangle read by rows, A000012 * (A000332 * 0^(n-k)) * A000012, 0<=k<=n; where A000332 starts (1, 5, 15, 35, 70,...).

Example

First few rows of the triangle =
1;
6, 5;
21, 20, 15;
56, 55, 50, 35;
126, 125, 120, 105, 70;
252, 251, 246, 231, 196, 126;
462, 461, 456, 441, 406, 336, 210;
792, 791, 786, 771, 736, 666, 540, 330;
...

Crossrefs

Cf. A000332, A051946.

Sequence in context: A039668 A281175 A281221 * A318547 A082384 A248265

Adjacent sequences: A143127 A143128 A143129 * A143131 A143132 A143133

Keyword

nonn,tabl

Author

Gary W. Adamson, Jul 27 2008

Status

approved