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A260484
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Complement of the Beatty sequence for e^(1/Pi) = A179706.
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3
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3, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 44, 47, 51, 55, 58, 62, 66, 69, 73, 77, 80, 84, 88, 91, 95, 99, 102, 106, 110, 113, 117, 121, 124, 128, 132, 135, 139, 143, 146, 150, 154, 157, 161, 165, 168, 172, 176, 179, 183, 187, 190, 194, 198
(list;
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listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, e.
Eric Weisstein's World of Mathematics, Pi.
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FORMULA
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a(n) = floor(n*e^(1/Pi)/(e^(1/Pi)-1)).
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EXAMPLE
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For n = 5, floor(5*e^(1/Pi)/(e^(1/Pi)-1)) = 18.
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MATHEMATICA
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Floor[Range[100]/(1 - Exp[-1/Pi])] (* Paolo Xausa, Jul 17 2024 *)
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PROG
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(Python)
from sympy import E, pi, floor
for n in range(1, 101): print(floor(n*E**(1/pi)/(E**(1/pi)-1)), end=', ')
(PARI) vector(80, n, floor(n*exp(1/Pi)/(exp(1/Pi)-1))) \\ Michel Marcus, Aug 05 2015
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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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