

A117935


Triangle, row terms converge to the Pell sequence.


0



1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 5, 4, 1, 1, 2, 5, 10, 5, 1, 1, 2, 5, 12, 17, 6, 1, 1, 2, 5, 12, 25, 26, 7, 1, 1, 2, 5, 12, 29, 46, 37, 8, 1, 1, 2, 5, 12, 29, 66, 77, 50, 9, 1, 1, 2, 5, 12, 29, 70, 137, 120, 65, 10, 1
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OFFSET

1,5


LINKS

Table of n, a(n) for n=1..66.


FORMULA

Antidiagonals of an array formed by taking binomial transforms of (1,0,0,0,...); (1,1,0,0,0,...); (1,1,2,0,0,0,...); where (1,1,2,2,4,4...) = A016116, the inverse binomial transform of the Pell sequence, A000129, starting 1,2,5,12...


EXAMPLE

First few rows of the array are:
1, 1, 1, 1, 1,...
1, 2, 3, 4, 5,...
1, 2, 5, 10, 17,...
1, 2, 5, 12, 25,...
1, 2, 5, 12, 29,...
...
For example, (1, 2, 5, 10, 17, 26, 37...) = the binomial transform of (1, 1, 2, 0, 0, 0...).
First few rows of the triangle are:
1;
1, 1;
1, 2, 1;
1, 2, 3, 1;
1, 2, 5, 4, 1;
1, 2, 5, 10, 5, 1;
1, 2, 5, 12, 17, 6, 1;
1, 2, 5, 12, 25, 26, 7, 1;
...


CROSSREFS

Cf. A000129, A016116.
Sequence in context: A259799 A208447 A320750 * A224698 A179749 A103462
Adjacent sequences: A117932 A117933 A117934 * A117936 A117937 A117938


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Apr 03 2006


STATUS

approved



