

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
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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.


LINKS

Table of n, a(n) for n=1..60.


FORMULA

a(2n)=2*A001950(n)=a(2n1)+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

Cf. A035513, A137707, A137708.
Sequence in context: A242661 A287323 A059985 * A275538 A090120 A129783
Adjacent sequences: A137706 A137707 A137708 * A137710 A137711 A137712


KEYWORD

nonn


AUTHOR

Clark Kimberling, Feb 07 2008


STATUS

approved



