A153859 Triangle read by rows, A007318 * (A007476 * 0 ^(n-k))

1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 4, 6, 8, 4, 1, 5, 10, 20, 20, 9, 1, 6, 15, 40, 60, 54, 23, 1, 7, 21, 70, 140, 189, 161, 65, 1, 8, 28, 112, 280, 504, 644, 520, 199, 1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654, 1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296

Offset

0,5

Comments

Row sums = A007476 starting (1, 2, 4, 9, 23, 65, 199,...).

Links

Table of n, a(n) for n=0..65.

Formula

Triangle read by rows A007318 * (A007476 * 0^(n-k)) = binomial transform of an infinite lower triangular matrix with A007476 as the main diagonal: (1, 1, 1, 2, 4, 9, 23, 65, 199,...) and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
1, 2, 1;
1, 3, 3, 2;
1, 4, 6, 8, 4;
1, 5, 10, 20, 20, 9;
1, 6, 15, 40, 60, 54, 23;
1, 7, 21, 70, 140, 189, 161, 65;
1, 8, 28, 112, 280, 504, 644, 520, 199;
1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654;
1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296;
...

Crossrefs

Cf. A007476

Sequence in context: A144401 A034929 A099509 * A363394 A368343 A131336

Adjacent sequences: A153856 A153857 A153858 * A153860 A153861 A153862

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 02 2009

Status

approved