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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
OFFSET
1,5
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:
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:
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
Sequence in context: A259799 A208447 A320750 * A224698 A179749 A103462
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Apr 03 2006
STATUS
approved