

A139633


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


1



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
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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



