A216127 a(n) = 6^n mod 1000.

1, 6, 36, 216, 296, 776, 656, 936, 616, 696, 176, 56, 336, 16, 96, 576, 456, 736, 416, 496, 976, 856, 136, 816, 896, 376, 256, 536, 216, 296, 776, 656, 936, 616, 696, 176, 56, 336, 16, 96, 576, 456, 736, 416, 496, 976, 856, 136, 816, 896, 376, 256, 536, 216, 296, 776

Offset

0,2

Comments

Terms 1, 6 and 36 occur only once. Period length = 25.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Mathematica

PowerMod[6, Range[0, 100], 1000] (* Vincenzo Librandi, Aug 16 2016 *)
PadRight[{1, 6, 36}, 120, {376, 256, 536, 216, 296, 776, 656, 936, 616, 696, 176, 56, 336, 16, 96, 576, 456, 736, 416, 496, 976, 856, 136, 816, 896}] (* Harvey P. Dale, Jan 24 2022 *)

Prog

(PARI) for(i=0, 100, print(6^i%1000" "))
(Magma) [Modexp(6, n, 1000): n in [0..110]]; // Vincenzo Librandi, Aug 16 2016

Crossrefs

Cf. A001311.

Sequence in context: A074436 A036162 A061708 * A337970 A124535 A267789

Adjacent sequences: A216124 A216125 A216126 * A216128 A216129 A216130

Keyword

nonn,easy

Author

V. Raman, Sep 01 2012

Extensions

a(0) = 1 prepended and offset changed by Vincenzo Librandi, Aug 16 2016

Status

approved