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A137709
Secondary Upper Wythoff Sequence.
2
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
OFFSET
1,1
COMMENTS
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.
FORMULA
a(2n) = 2*A001950(n) = a(2n-1)+1; A001950 is the upper Wythoff sequence.
EXAMPLE
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,...
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Feb 07 2008
STATUS
approved