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A070481 a(n) = n^3 mod 19. 1
0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

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

a(n) = a(n-19).

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

MATHEMATICA

Table[Mod[n^3, 19], {n, 0, 100}] (* Vincenzo Librandi, Jun 19 2014 *)

PowerMod[Range[0, 90], 3, 19] (* Harvey P. Dale, Feb 25 2015 *)

PROG

(Sage) [power_mod(n, 3, 19 )for n in xrange(0, 85)] # Zerinvary Lajos, Oct 29 2009

(MAGMA) [Modexp(n, 3, 19): n in [0..100]]; // Vincenzo Librandi, Mar 28 2016

(PARI) a(n)=n^3%19 \\ Charles R Greathouse IV, Apr 06 2016

CROSSREFS

Cf. A008960.

Sequence in context: A127196 A294795 A173623 * A011109 A248622 A023411

Adjacent sequences:  A070478 A070479 A070480 * A070482 A070483 A070484

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified June 19 16:48 EDT 2019. Contains 324222 sequences. (Running on oeis4.)