A168533 Triangle read by rows, A000012 * A168532, as infinite lower triangular matrices.

1, 2, 1, 4, 1, 1, 7, 2, 1, 1, 13, 2, 1, 1, 1, 20, 4, 2, 1, 1, 1, 34, 4, 2, 1, 1, 1, 1, 51, 7, 2, 2, 1, 1, 1, 1, 78, 7, 4, 2, 1, 1, 1, 1, 1, 112, 13, 4, 2, 2, 2, 21, 1, 1, 167, 13, 4, 2, 2, 1, 1, 1, 1, 1, 1, 230, 20, 7, 4, 2, 2, 21, 1, 1, 1, 1, 1

Offset

1,2

Comments

Row sums = A026905: (1, 3, 6, 11, 18, 29, 44, 66,...)

Triangle A168534 = A168532 * A000012

Links

Table of n, a(n) for n=1..77.

Formula

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

triangular matrix with all 1's. The operation takes partial sums of A168532

column terms.

Example

First few rows of the triangle =
1;
2, 1;
4, 1, 1;
7, 2, 1, 1;
13, 2, 1, 1, 1;
20, 4, 2, 1, 1, 1;
34, 4, 2, 1, 1, 1, 1;
51, 7, 2, 2, 1, 1, 1, 1;
78, 7, 4, 2, 1, 1, 1, 1, 1;
112, 13, 4, 2, 2, 1, 1, 1, 1, 1;
167, 13, 4, 2, 2, 1, 1, 1, 1, 1, 1;
230, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;
330, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1;
449, 34, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;
616, 34, 13, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
825, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
1121, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1;

Crossrefs

Cf. A168532, A026905, A168534

Sequence in context: A348593 A211232 A137633 * A191314 A191306 A191525

Adjacent sequences: A168530 A168531 A168532 * A168534 A168535 A168536

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 28 2009

Status

approved