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Search: id:A137709
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| A137709 |
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Secondary Upper Wythoff Sequence. |
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+0
3
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| 3, 4, 9, 10, 13, 14, 19, 20, 25, 26, 29, 30, 35, 36, 39, 40, 45, 46, 51, 52, 55, 56, 61, 62, 67, 68, 71, 72, 77, 78, 81, 82, 87, 88, 93, 94, 97, 98, 103, 104, 107, 108, 113, 114, 119, 120, 123, 124, 129, 130, 135, 136, 139, 140, 145, 146, 149, 150, 155, 156
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This sequence is the ordered union of even 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*A001950(n)=a(2n-1)+1; A001950 is the upper Wythoff sequence.
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EXAMPLE
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The upper Wythoff sequence begins with 2,5,7,10,13,15,18,...
Double these: 4,10,14,20,26,30,36,...; subtract 1: 3,9,13,19,25,29,35,...;
Then merge: 3,4,9,10,13,14,19,20,25,26,29,30,35,36,...
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CROSSREFS
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Cf. A035513, A137707, A137708.
Sequence in context: A054591 A121153 A059985 this_sequence A090120 A129783 A093513
Adjacent sequences: A137706 A137707 A137708 this_sequence A137710 A137711 A137712
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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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