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Search: id:A117935
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| A117935 |
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Triangle, row terms converge to the Pell sequence. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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1,5
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FORMULA
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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...
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EXAMPLE
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Frist 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;
...
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CROSSREFS
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Cf. A000129, A016116.
Sequence in context: A004070 A048887 A047913 this_sequence A103462 A116855 A030111
Adjacent sequences: A117932 A117933 A117934 this_sequence A117936 A117937 A117938
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 03 2006
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