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Search: id:A134561
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| A134561 |
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Array T by antidiagonals: T(n,k) = k-th number whose Zeckendorf representation has exactly n terms. |
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+0
2
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| 1, 2, 4, 3, 6, 12, 5, 7, 17, 33, 8, 9, 19, 46, 88, 13, 10, 20, 51, 122, 232, 21, 11, 25, 53, 135, 321, 609, 34, 14, 27, 54, 140, 355, 842, 1596, 55, 15, 28, 67, 142, 368, 931, 2206, 4180, 89, 16, 30, 72, 143, 373, 965
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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A permutation of the natural numbers. Except for initial terms in some cases, (Row 1) = A000045 (Row 2) = A095096 (Row 3) = A059390 (Row 4) = A111458 (Col 1) = A027941 (Col 2) = A005592
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REFERENCES
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C. Kimberling, "The Zeckendorf array equals the Wythoff array," Fibonacci Quarterly 33 (1995) 3-8.
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EXAMPLE
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19 = 13 + 5 + 1 is the 3rd largest number (after 12 and 17) that has
a 3-term Zeckendorf representation; i.e., the (unique) sum of distinct non-neighboring Fibonacci numbers.
Northwest corner:
1 2 3 5 8 13
4 6 7 9 10 11
12 17 19 20 25 27
33 46 51 53 54 67
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CROSSREFS
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Cf. A035513.
Sequence in context: A131393 A002326 A064273 this_sequence A120947 A046793 A101278
Adjacent sequences: A134558 A134559 A134560 this_sequence A134562 A134563 A134564
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Nov 01 2007
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