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A283770 Numbers k such that L(k) = 1 mod 3, where L = A000201 = lower Wythoff sequence. 3
1, 3, 10, 12, 14, 16, 23, 25, 27, 29, 34, 36, 38, 40, 42, 47, 49, 51, 53, 55, 60, 62, 64, 66, 73, 75, 77, 79, 86, 88, 90, 92, 99, 101, 103, 105, 112, 114, 116, 118, 123, 125, 127, 129, 131, 136, 138, 140, 142, 144, 149, 151, 153, 155, 162, 164, 166, 168, 175 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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==1, 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==1] # Indranil Ghosh, Mar 19 2017

CROSSREFS

Cf. A000201, A001622, A283769, A283771.

Sequence in context: A212993 A272968 A020681 * A088338 A020890 A343892

Adjacent sequences:  A283767 A283768 A283769 * A283771 A283772 A283773

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 18 2017

STATUS

approved

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Last modified June 21 15:09 EDT 2021. Contains 345364 sequences. (Running on oeis4.)