A070603 a(n) = n^5 mod 19.

0, 1, 13, 15, 17, 9, 5, 11, 12, 16, 3, 7, 8, 14, 10, 2, 4, 6, 18, 0, 1, 13, 15, 17, 9, 5, 11, 12, 16, 3, 7, 8, 14, 10, 2, 4, 6, 18, 0, 1, 13, 15, 17, 9, 5, 11, 12, 16, 3, 7, 8, 14, 10, 2, 4, 6, 18, 0, 1, 13, 15, 17, 9, 5, 11, 12, 16, 3, 7, 8, 14, 10, 2, 4, 6, 18, 0, 1, 13, 15, 17, 9, 5, 11

Offset

0,3

References

Harold Davenport, The Higher Arithmetic, Cambridge University Press, 8th ed., 2008, p. 54.

Links

Table of n, a(n) for n=0..83.

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).

Mathematica

a[n_]:=Mod[n^5, 19]; Array[a, 84, 0] (* Stefano Spezia, Dec 14 2025 *)

Prog

(SageMath) [power_mod(n, 5, 19)for n in range(0, 84)] # Zerinvary Lajos, Nov 04 2009
(PARI) a(n)=n^5%19 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A000584.

Sequence in context: A212908 A180642 A176717 * A329183 A302440 A379903

Adjacent sequences: A070600 A070601 A070602 * A070604 A070605 A070606

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved