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Search: id:A137708
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| A137708 |
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Secondary Lower Wythoff Sequence. |
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+0
3
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| 1, 2, 5, 6, 7, 8, 11, 12, 15, 16, 17, 18, 21, 22, 23, 24, 27, 28, 31, 32, 33, 34, 37, 38, 41, 42, 43, 44, 47, 48, 49, 50, 53, 54, 57, 58, 69, 60, 63, 64, 65, 66, 69, 70, 73, 74, 75, 76, 79, 80, 83, 84, 85, 86, 89, 90, 91, 92, 95, 96, 99, 100, 101, 102, 105, 106, 109, 110, 111
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This sequence is the ordered union of odd numbered columns of the Wythoff secondary array, A137707. See A137707 for complementary equations of which this sequence is a solution.
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FORMULA
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a(2n)=2*A000201(n)=a(2n-1)+1; A000201 is the lower Wythoff sequence.
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EXAMPLE
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The lower Wythoff sequence begins with 1,3,4,6,8,9,...
Double these: 2,6,8,12,16,18...; subtract 1: 1,5,7,11,15,17;
Then merge: 1,2,5,6,7,8,11,12,15,16,17,18,...
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CROSSREFS
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Cf. A035513, A137709.
Sequence in context: A047269 A039027 A129816 this_sequence A122806 A122546 A028739
Adjacent sequences: A137705 A137706 A137707 this_sequence A137709 A137710 A137711
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Feb 07 2008
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