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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 19 18:39 EST 2019. Contains 329323 sequences. (Running on oeis4.)