A168534 Triangle read by rows, A168532 * A000012; as infinite lower triangular matrices.

1, 2, 1, 3, 1, 1, 5, 2, 1, 1, 7, 1, 1, 1, 1, 11, 4, 2, 1, 1, 1, 15, 1, 1, 1, 1, 1, 1, 22, 5, 2, 2, 1, 1, 1, 1, 30, 3, 3, 1, 1, 1, 1, 1, 1, 42, 8, 2, 2, 2, 1, 1, 1, 1, 1, 56, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 77, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1

Offset

1,2

Comments

Row sums = A078392: (1, 3, 5, 9, 11, 20, 21,...).

Triangle A168533 = A000012 * A168532

Left border = the partition numbers, A000041 starting with offset 1.

Links

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

Formula

Triangle read by rows, A168532 * A000012; where A000012 = an infinite lower

triangular matrix with all 1's. The operation takes partial row sums

starting from the right of each row.

Example

First few rows of the triangle =
1;
2, 1;
3, 1, 1;
5, 2, 1, 1;
7, 1, 1, 1, 1;
11, 4, 2, 1, 1, 1;
15, 1, 1, 1, 1, 1, 1;
22, 5, 2, 2, 1, 1, 1, 1;
30, 3, 3, 1, 1, 1, 1, 1, 1;
42, 8, 2, 2, 2, 1, 1, 1, 1, 1;
56, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
77, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;
101, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
135, 16, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;
176, 9, 9, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
231, 22, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
...

Crossrefs

Cf. A168532, A168533, A000041, A078392

Sequence in context: A210765 A362372 A160183 * A026807 A338440 A179045

Adjacent sequences: A168531 A168532 A168533 * A168535 A168536 A168537

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 28 2009

Status

approved