

A119355


Triangle generated from binomial transforms of (1; 2, 3; 3, 4, 5;...).


0



1, 2, 1, 3, 5, 1, 4, 7, 8, 1, 5, 9, 16, 11, 1, 6, 11, 20, 30, 14, 1, 7, 13, 24, 44, 49, 17, 1, 8, 15, 28, 52, 88, 73, 20, 1, 9, 17, 32, 60, 103, 159, 102, 23, 1
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..45.


FORMULA

Take antidiagonals of an array generated by taking binomial transforms of (1; 2, 3; 3, 4, 5; 4, 5, 6, 7;...)


EXAMPLE

First few rows of the array are:
1, 1, 1, 1,...
2, 5, 8, 11,...
3, 7, 16, 30,...
4, 9, 20, 44,...
...
First few rows of the triangle are:
1;
2, 1;
3, 5, 1;
4, 7, 8, 1;
5, 9, 16, 11, 1;
6, 11, 20, 30, 14, 1;
7, 13, 24, 44, 49, 17, 1;
...
Example: The diagonal 3, 7, 16, 30, 49...(third row of the array) = binomial transform of (3, 4, 5, 0, 0, 0...).


CROSSREFS

Sequence in context: A210563 A236311 A093412 * A076110 A117584 A199847
Adjacent sequences: A119352 A119353 A119354 * A119356 A119357 A119358


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, May 16 2006


STATUS

approved



