A268615 Lucas numbers mod 40.

2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11, 18, 29, 7, 36, 3, 39, 2, 1, 3, 4, 7, 11

Offset: 0

Author

G. C. Greubel, Feb 08 2016

Keywords

• nonn
• easy

Comments

This sequence is of period 12.

This is one of four sequences that are period 12 of the form Lucas[n] Mod x, where x is 8,10,20,40.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000032, A111958, A130893, A268613.

Programs

Magma

[Lucas(n) mod 40: n in [0..100]]; // Vincenzo Librandi, Feb 09 2016

Mathematica

Table[Mod[LucasL[n],40], {n,0,100}]
PadRight[{},120,{2,1,3,4,7,11,18,29,7,36,3,39}] (* Harvey P. Dale, Feb 04 2019 *)

Formula

a(n+12) = a(n).