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A283772 Numbers k such that U(k) = 0 mod 3, where U = A001950 = upper Wythoff sequence. 3
6, 7, 14, 15, 21, 22, 23, 29, 30, 31, 37, 38, 39, 45, 46, 47, 53, 54, 61, 62, 69, 70, 76, 77, 78, 84, 85, 86, 92, 93, 94, 100, 101, 102, 108, 109, 116, 117, 124, 125, 131, 132, 133, 139, 140, 141, 147, 148, 149, 155, 156, 157, 163, 164, 171, 172, 179, 180 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequences A283772, A283773, A283774 partition the positive integers.

LINKS

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

FORMULA

a(n+1) - a(n) is in {1,6,7} for every n.

MATHEMATICA

r = GoldenRatio^2; z = 350; t = Table[Floor[n*r], {n, 1, z}]; u = Mod[t, 3];

Flatten[Position[u, 0]]  (* A283772 *)

Flatten[Position[u, 1]]  (* A283773 *)

Flatten[Position[u, 2]]  (* A283774 *)

PROG

(PARI) r = (3 + 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 = (3 + sqrt(5))/2

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

CROSSREFS

Cf. A000201, A001622, A283773, A283774.

Sequence in context: A042315 A288667 A319487 * A080402 A146308 A047589

Adjacent sequences:  A283769 A283770 A283771 * A283773 A283774 A283775

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 18 2017

STATUS

approved

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Last modified July 29 22:32 EDT 2021. Contains 346346 sequences. (Running on oeis4.)