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A070538
a(n) = n^4 mod 19.
1
0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4
OFFSET
0,3
COMMENTS
Equivalently: n^(18*m + 4) mod 19. - G. C. Greubel, Apr 05 2016
LINKS
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, 1).
FORMULA
From G. C. Greubel, Apr 05 2016: (Start)
a(19*n) = 0.
a(n+19) = a(n). (End)
MATHEMATICA
PowerMod[Range[0, 100], 4, 19] (* G. C. Greubel, Apr 05 2016 *)
PROG
(Sage) [power_mod(n, 4, 19)for n in range(0, 90)] # Zerinvary Lajos, Oct 31 2009
(PARI) a(n)=n^4%19 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Sequence in context: A102411 A336782 A040245 * A296336 A198064 A233000
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 13 2002
STATUS
approved