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Search: id:A091450
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| A091450 |
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Transpose of A091449: array T(n,k) read by antidiagonals, where column n is the increasing sequence of numbers k for which the simple continued fraction of sqrt(k) has period n. |
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3
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| 1, 4, 2, 9, 5, 3, 16, 10, 6, 41, 25, 17, 8, 130, 7, 36, 26, 11, 268, 14, 13, 49, 37, 12, 370, 23, 29, 19, 64, 50, 15, 458, 28, 53, 21, 58, 81, 65, 18, 697, 32, 74, 22, 73, 31, 100, 82, 20, 986, 33, 85, 45, 202, 44, 106, 121, 101, 24, 1313, 34, 89, 52, 250, 69, 113, 43
(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(0,3)=7.
[The array T(n,k) is indexed by n=0,1,2,3,..., k=0,1,2,3... .]
Column 0 consists of squares: 1,4,9,...
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CROSSREFS
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Cf. A002522, A013642, A091449, A091451, A091453.
Sequence in context: A051494 A118013 A091452 this_sequence A002246 A008831 A095833
Adjacent sequences: A091447 A091448 A091449 this_sequence A091451 A091452 A091453
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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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