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Search: id:A091449
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| A091449 |
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Array T(n,k) read by antidiagonals, where row n is the increasing sequence of numbers k for which the simple continued fraction of sqrt(k) has period n. |
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4
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| 1, 2, 4, 3, 5, 9, 41, 6, 10, 16, 7, 130, 8, 17, 25, 13, 14, 268, 11, 26, 36, 19, 29, 23, 370, 12, 37, 49, 58, 21, 53, 28, 458, 15, 50, 64, 31, 73, 22, 74, 32, 697, 18, 65, 81, 106, 44, 202, 45, 85, 33, 986, 20, 82, 100, 43, 113, 69, 250, 52, 89, 34, 1313, 24, 101, 121
(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 positive integers.
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EXAMPLE
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The least n for which CF(sqrt(n)) has period of length 4 is n=7, with CF=[2;1,1,1,4,1,1,1,4,1,1,1,4,...]; thus T(3,0)=7.
[The array T(n,k) is indexed by n=0,1,2,3,..., k=0,1,2,3... .]
Row 0 consists of squares: 1,4,9,...
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CROSSREFS
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Cf. A002522, A013642, A091450, A091451, A091453.
Sequence in context: A082330 A082329 A072799 this_sequence A100834 A100826 A093416
Adjacent sequences: A091446 A091447 A091448 this_sequence A091450 A091451 A091452
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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), Feb 03 2004
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