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A283771
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Numbers k such that L(k) = 2 mod 3, where L = A000201 = lower Wythoff sequence.
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3
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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
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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a(n+1) - a(n) is in {2,5,7} for every n.
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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