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A191153
a(n) = floor(2*n*Pi) - 2*floor(n*Pi).
4
0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1
OFFSET
1
COMMENTS
Equivalently, the nearest integer to the fractional part of n*Pi. - Rick L. Shepherd, Aug 24 2020
LINKS
FORMULA
a(n) = A038130(n) - 2*A022844(n). - Michel Marcus, Aug 24 2020
MAPLE
A191153:=n->floor(2*n*Pi) - 2*floor(n*Pi): seq(A191153(n), n=1..100); # Wesley Ivan Hurt, Jul 03 2014
MATHEMATICA
f[n_] := Floor[2 n*Pi] - 2*Floor[n*Pi];
t = Table[f[n], {n, 1, 220}] (* A191153 *)
Flatten[Position[t, 0]] (* A191159 *)
Flatten[Position[t, 1]] (* A191164 *)
PROG
(PARI) a(n) = round(frac(n*Pi)) \\ Rick L. Shepherd, Aug 24 2020
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 27 2011
STATUS
approved