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Search: id:A054124
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| A054124 |
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Left Fibonacci row-sum array, n >= 0, 0<=k<=n. |
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+0
5
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| 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 7, 5, 1, 1, 1, 2, 4, 8, 11, 6, 1, 1, 1, 2, 4, 8, 15, 16, 7, 1, 1, 1, 2, 4, 8, 16, 26, 22, 8, 1, 1, 1, 2, 4, 8, 16, 31, 42, 29, 9, 1, 1, 1, 2, 4, 8, 16, 32, 57, 64, 37, 10, 1, 1, 1, 2
(list; table; graph; listen)
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OFFSET
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0,9
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COMMENT
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Reflection of array in A054123 about vertical central line.
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LINKS
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Index entries for triangles and arrays related to Pascal's triangle
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FORMULA
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T(n, 0)=T(n, n)=1 for n >= 0; T(n, k)=T(n-1, k-1)+T(n-2, k-1) for k=1, 2, ..., n-1, n >= 2.
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EXAMPLE
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Rows: {1}, {1,1}, {1,1,1}, {1,1,2,1}, {1,1,2,3,1}, ...
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CROSSREFS
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Row sums: 1, 2, 3, 5, 8, 13, ... (Fibonacci numbers, A000045). Central numbers: 1, 1, 2, 4, 8, ... (binary powers, A000079).
First n numbers of n-th column for n >= 1 form the array in A008949.
Sequence in context: A131256 A122945 A119338 this_sequence A096670 A130461 A130777
Adjacent sequences: A054121 A054122 A054123 this_sequence A054125 A054126 A054127
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KEYWORD
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nonn,tabl,eigen,nice
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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