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A283771 Numbers k such that L(k) = 2 mod 3, where L = A000201 = lower Wythoff sequence. 3
5, 7, 9, 11, 18, 20, 22, 24, 31, 33, 35, 37, 44, 46, 48, 50, 57, 59, 61, 63, 68, 70, 72, 74, 76, 81, 83, 85, 87, 94, 96, 98, 100, 107, 109, 111, 113, 120, 122, 124, 126, 133, 135, 137, 139, 146, 148, 150, 152, 157, 159, 161, 163, 165, 170, 172, 174, 176, 183 (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==2, print1(n, ", "))) \\ Indranil Ghosh, Mar 19 2017

(Python)

import math

from sympy import sqrt

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

[n for n in range(1, 351) if int(math.floor(n*r))%3==2] # Indranil Ghosh, Mar 19 2017

CROSSREFS

Cf. A000201, A001622, A283769, A283770.

Sequence in context: A256091 A229064 A024910 * A045236 A346368 A029664

Adjacent sequences:  A283768 A283769 A283770 * A283772 A283773 A283774

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.)