

A070532


a(n) = n^4 mod 14.


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


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



