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A137708 Secondary Lower Wythoff Sequence. 2
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; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

FORMULA

a(2n)=2*A000201(n)=a(2n-1)+1; A000201 is the lower Wythoff sequence.

EXAMPLE

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,...

CROSSREFS

Cf. A035513, A137709.

Sequence in context: A047269 A039027 A129816 * A122806 A122546 A028739

Adjacent sequences:  A137705 A137706 A137707 * A137709 A137710 A137711

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Feb 07 2008

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Last modified February 14 17:10 EST 2012. Contains 205644 sequences.