A139633 Triangle read by rows: binomial transform of a diagonalized matrix of A026741.

1, 1, 1, 1, 2, 3, 1, 3, 9, 2, 1, 4, 18, 8, 5, 1, 5, 30, 20, 25, 3, 1, 6, 45, 40, 75, 18, 7, 1, 7, 63, 70, 175, 63, 49, 4, 1, 8, 84, 112, 350, 168, 196, 32, 9, 1, 9, 108, 168, 630, 378, 588, 144, 81, 5, 1, 10, 135, 240, 1050, 756, 1470, 480, 405, 50, 11, 1, 11, 165, 330, 1650, 1386

Offset

1,5

Comments

Row sums = A084860: (1, 2, 6, 15, 36, 84, 192,...).

Links

Table of n, a(n) for n=1..72.

Formula

Let X = a diagonalized matrix of A026741: [1; 0,1; 0,0,3; 0,0,0,2;], where the first few nonzero terms of A026741 are (1, 1, 3, 2, 5, 3, 7,...). The triangle = A007318 * X.

Example

First few rows of the triangle are:
1;
1, 1;
1, 2, 3;
1, 3, 9, 2;
1, 4, 18, 8, 5;
1, 5, 30, 20, 25, 3;
1, 6, 45, 40, 75, 18, 7;
1, 7, 63, 70, 175, 63, 49, 4;
...

Crossrefs

Cf. A026741, A084860.

Sequence in context: A058127 A244490 A133935 * A208330 A152440 A134319

Adjacent sequences: A139630 A139631 A139632 * A139634 A139635 A139636

Keyword

nonn,tabl

Author

Gary W. Adamson and Roger L. Bagula, Apr 27 2008

Status

approved