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A184480 Lower s-Wythoff sequence, where s(n)=3n.  Complement of A001956. 5
1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 44, 45, 46, 48, 49, 50, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 78, 79, 80, 82, 83, 84, 85, 87, 88, 89, 91, 92, 93, 95, 96, 97, 99, 100, 101, 102, 104, 105, 106, 108, 109, 110, 112, 113, 114, 115, 117, 118, 119, 121, 122, 123, 125, 126, 127, 128, 130, 131, 132, 134, 135, 136, 138, 139, 140, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A184480(n)=A001955(n) for n<43.

See A184117 for the definition of lower and upper Wythoff sequences.

LINKS

Table of n, a(n) for n=1..120.

FORMULA

a(n)=floor[n*(-1+sqrt(13))/2].

b(n)=floor[n*(5+sqrt(13))/2]=A001956(n).

MATHEMATICA

k=3; r=0; d=Sqrt[4+k^2];

a[n_]:=Floor[(1/2)(d+2-k)(n+r/(d+2))];

b[n_]:=Floor[(1/2)(d+2+k)(n-r/(d+2))];

Table[a[n], {n, 120}]

Table[b[n], {n, 120}]

CROSSREFS

Cf. A184117.

Sequence in context: A276341 A098572 A001955 * A194375 A188222 A109237

Adjacent sequences:  A184477 A184478 A184479 * A184481 A184482 A184483

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 15 2011

STATUS

approved

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Last modified May 24 22:11 EDT 2017. Contains 287008 sequences.