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A335137
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a(n) = floor(n*Im(2*e^(i*Pi/5))).
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2
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1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72
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OFFSET
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1,2
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COMMENTS
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This is the Beatty sequence for imaginary part of 2*e^(i*Pi/5).
Im(2*e^(i*Pi/5)) = A182007 = 1.1755705045849462583374119... = 2*sin(Pi/5).
The real part of floor(n*2*e^(i*Pi/5)) is A000201 (floor(n*phi)).
Re(2*e^(i*Pi/5)) = A001622 = phi = (1 + sqrt(5))/2.
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LINKS
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EXAMPLE
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For n = 3, floor(3*1.17557) = 3.
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MATHEMATICA
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PROG
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(Python)
from sympy import floor, im, exp, I, pi
for n in range(1, 101): print(floor(n*im(2*exp(I*pi/5))), end=', ')
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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