OFFSET
0,3
COMMENTS
Decimal expansion of 538853870/3333333333. - Alexander R. Povolotsky, Mar 09 2013
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
a(n) = n^k mod 10; for k > 0 where k mod 4 = 0. - Doug Bell, Jun 15 2015
From G. C. Greubel, Apr 01 2016: (Start)
a(n) = a(n-10).
a(2*n) = 6*A011558(n).
G.f.: (x +6*x^2 +x^3 +6*x^4 +5*x^5 +6*x^6 +x^7 +6*x^8 +x^9)/(1 - x^10). (End)
MAPLE
MATHEMATICA
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 6, 1, 6, 5, 6, 1, 6, 1}, 100] (* Vincenzo Librandi, Jun 16 2015 *)
PowerMod[Range[0, 100], 4, 10] (* G. C. Greubel, Apr 01 2016 *)
PROG
(Sage) [power_mod(n, 4, 10)for n in range(0, 101)] # Zerinvary Lajos, Oct 30 2009
(Magma) [n^4 mod (10): n in [0..80]]; // Vincenzo Librandi, Jun 16 2015
(PARI) vector(100, n, n--; n^4%10) \\ Derek Orr, Jun 16 2015
CROSSREFS
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, May 13 2002
STATUS
approved