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Search: id:A106198
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| A106198 |
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Triangle, columns = successive binomial transforms of Fibonacci numbers. |
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1
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| 1, 1, 1, 2, 2, 1, 3, 5, 3, 1, 5, 13, 10, 4, 1, 8, 34, 35, 17, 5, 1, 13, 89, 125, 75, 26, 6, 1, 21, 233, 450, 338, 139, 37, 7, 1, 34, 610, 1625, 1541, 757, 233, 50, 8, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First few rows of the triangle are:
1;
1, 1;
2, 2, 1;
3, 5, 3, 1;
5, 13, 10, 4, 1;
8, 34, 35, 17, 5, 1
13, 89, 125, 75, 26, 6, 1
21, 233, 450, 338, 139, 37, 7, 1;
...
Column 0 = Fibonacci numbers, column 1 = odd indexed Fibonacci numbers (first binomial transform of 1, 1, 2, 3, 5...; column 2 = second binomial transform of Fibonacci numbers, etc.
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FORMULA
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Offset column k = k-th binomial transform of the Fibonacci numbers, given leftmost column = Fibonacci numbers.
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EXAMPLE
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Column 2 = A081567, second binomial transform of Fibonacci numbers: 1, 3, 10, 35, 125...
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CROSSREFS
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Cf. A081567, A081568, A081569, A081570.
Sequence in context: A106196 A037027 A139375 this_sequence A054336 A079956 A140717
Adjacent sequences: A106195 A106196 A106197 this_sequence A106199 A106200 A106201
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 24 2005
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