A070532 a(n) = n^4 mod 14.

0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2, 1, 0, 1, 2, 11, 4, 9, 8, 7, 8, 9, 4, 11, 2

Offset

0,3

Comments

Equivalently: n^(6*m + 4) mod 14. - G. C. Greubel, Apr 01 2016

Links

G. C. Greubel, 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, 1).

Formula

From G. C. Greubel, Apr 01 2016: (Start)

a(n+14) = a(n).

a(14*m) = 0.

a(2*n) = 2*A070512(n).

G.f.: (x +2*x^2 +11*x^3 +4*x^4 +9*x^5 +8*x^6 +7*x^7 +8*x^8 +9*x^9 +4*x^10 +11*x^11 +2*x^12 +x^13)/(1 - x^14). (End)

Mathematica

PowerMod[Range[0, 100], 4, 14] (* G. C. Greubel, Apr 01 2016 *)

Prog

(Sage) [power_mod(n, 4, 14)for n in range(0, 97)] # Zerinvary Lajos, Oct 31 2009
(Magma) [Modexp(n, 4, 14): n in [0..100]]; // Vincenzo Librandi, Apr 02 2016
(PARI) a(n)=n^4%14 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A070512.

Sequence in context: A070840 A235460 A082264 * A038217 A152985 A257112

Adjacent sequences: A070529 A070530 A070531 * A070533 A070534 A070535

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved