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A021337
Decimal expansion of 1/333.
3
0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3
OFFSET
0,3
FORMULA
G.f.: 3*x^2/(1 - x^3). - Chai Wah Wu, Jun 21 2016
From Wesley Ivan Hurt, Jul 02 2016: (Start)
a(n) = a(n-3) for n>2.
a(n) = 1 - cos(2*n*Pi/3) - sqrt(3)*sin(2*n*Pi/3).
a(n) = 3*(1 - sgn((n+1) mod 3)).
a(n) = 1 + (n mod 3) - ((n+1) mod 3). (End)
MAPLE
seq(op([0, 0, 3]), n=0..50); # Wesley Ivan Hurt, Jul 02 2016
MATHEMATICA
PadLeft[First@#, Abs@Last@# + Length@First@#]&@RealDigits[N[1/333, 100]] (* Vincenzo Librandi, Jun 22 2016 *)
PadRight[{}, 100, {0, 0, 3}] (* Wesley Ivan Hurt, Jul 02 2016 *)
PROG
(Magma) &cat [[0, 0, 3]^^30]; // Wesley Ivan Hurt, Jul 02 2016
CROSSREFS
Sequence in context: A350914 A346607 A095104 * A361824 A293903 A284444
KEYWORD
nonn,cons,easy
STATUS
approved