

A140183


Triangle read by rows, binomial transform of an infinite lower triangular matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in the subdiagonal and the rest zeros.


1



1, 2, 2, 3, 5, 1, 4, 9, 4, 2, 5, 14, 10, 9, 1, 6, 20, 20, 25, 6, 2, 7, 27, 35, 55, 21, 13, 1, 8, 35, 56, 105, 56, 49, 8, 2, 9, 44, 84, 182, 126, 140, 36, 17, 1, 10, 54, 120, 294, 252, 336, 120, 81, 10, 2, 1, 65, 165, 450, 462, 714, 330, 285, 55, 21, 1
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OFFSET

0,2


COMMENTS

Row sums = A052549: (1, 4, 9, 19, 39, 79,...).


LINKS

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


FORMULA

Triangle read by rows, A007318 as an infinite lower triangular matrix * a bidiagonal matrix with (1,2,1,2,1,2,...) in the main diagonal and (1,1,1,...) in the subdiagonal.


EXAMPLE

First few rows of the triangle are:
1;
2, 2;
3, 5, 1;
4, 9, 4, 2;
5, 14, 10, 9, 1;
6, 20, 20, 25, 6, 2;
7, 27, 35, 55, 21, 13, 1;
...


CROSSREFS

Cf. A052549.
Sequence in context: A067088 A065519 A058256 * A280408 A130725 A256015
Adjacent sequences: A140180 A140181 A140182 * A140184 A140185 A140186


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, May 11 2008


STATUS

approved



