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A283769 Numbers k such that L(k) = 0 mod 3, where L = A000201 = lower Wythoff sequence. 3
2, 4, 6, 8, 13, 15, 17, 19, 21, 26, 28, 30, 32, 39, 41, 43, 45, 52, 54, 56, 58, 65, 67, 69, 71, 78, 80, 82, 84, 89, 91, 93, 95, 97, 102, 104, 106, 108, 110, 115, 117, 119, 121, 128, 130, 132, 134, 141, 143, 145, 147, 154, 156, 158, 160, 167, 169, 171, 173 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequences A283769, A283770, A283771 partition the positive integers.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

FORMULA

a(n+1) - a(n) is in {2,5,7} for every n.

MATHEMATICA

r = GoldenRatio; z = 350; t = Table[Floor[n*r], {n, 1, z}]; u = Mod[t, 3];

Flatten[Position[u, 0]]  (* A283769 *)

Flatten[Position[u, 1]]  (* A283770 *)

Flatten[Position[u, 2]]  (* A283771 *)

PROG

(PARI) r = (1 + sqrt(5))/2;

for(n=1, 351, if(floor(n*r)%3==0, print1(n, ", "))) \\ Indranil Ghosh, Mar 19 2017

(Python)

import math

from sympy import sqrt

r = (1 + sqrt(5))/2

print [n for n in xrange (1, 351) if int(math.floor(n*r))%3==0] # Indranil Ghosh, Mar 19 2017

CROSSREFS

Cf. A000201, A001622, A283770, A283771.

Sequence in context: A187779 A086141 A067883 * A117117 A135109 A281615

Adjacent sequences:  A283766 A283767 A283768 * A283770 A283771 A283772

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 18 2017

STATUS

approved

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Last modified November 19 00:12 EST 2018. Contains 317332 sequences. (Running on oeis4.)