A070484 a(n) = n^3 mod 22.

0, 1, 8, 5, 20, 15, 18, 13, 6, 3, 10, 11, 12, 19, 16, 9, 4, 7, 2, 17, 14, 21, 0, 1, 8, 5, 20, 15, 18, 13, 6, 3, 10, 11, 12, 19, 16, 9, 4, 7, 2, 17, 14, 21, 0, 1, 8, 5, 20, 15, 18, 13, 6, 3, 10, 11, 12, 19, 16, 9, 4, 7, 2, 17, 14, 21, 0, 1, 8, 5, 20, 15, 18, 13, 6, 3, 10, 11, 12, 19, 16, 9

Offset

0,3

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, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

From G. C. Greubel, Mar 28 2016: (Start)

a(n) = a(n-22).

G.f.: (-x -8 *x^2 -5*x^3 -20*x^4 -15*x^5 -18*x^6 -13*x^7 -6*x^8 -3*x^9 -10*x^10 -11*x^11 -12*x^12 -19*x^13 -16*x^14 -9*x^15 -4*x^16 -7*x^17 -2*x^18 -17*x^19 -14*x^20 -21*x^21)/(-1 + x^22). (End)

Mathematica

PowerMod[Range[0, 90], 3, 22] (* G. C. Greubel, Mar 28 2016 *)

Prog

(Sage) [power_mod(n, 3, 22 )for n in range(0, 82)] # Zerinvary Lajos, Oct 29 2009
(PARI) a(n)=n^3%22 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A253806 A348688 A199806 * A096480 A248292 A196123

Adjacent sequences: A070481 A070482 A070483 * A070485 A070486 A070487

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved