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A070515 a(n) = n^4 mod 11. 1
0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1, 5, 4, 3, 9, 9, 3, 4, 5, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Equivalently: n^(10*m + 4) mod 11. - 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) = a(n-11).

a(11*m) = 0.

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

MATHEMATICA

PowerMod[Range[0, 100], 4, 11] (* Harvey P. Dale, Oct 20 2013 *)

PROG

(Sage) [power_mod(n, 4, 11)for n in range(0, 101)] # Zerinvary Lajos, Oct 31 2009

(MAGMA) [Modexp(n, 4, 11): n in [0..100]]; // Vincenzo Librandi, Apr 02 2016

(PARI) a(n)=n^4%11 \\ Charles R Greathouse IV, Apr 06 2016

CROSSREFS

Sequence in context: A194556 A154198 A086793 * A096733 A125900 A019102

Adjacent sequences:  A070512 A070513 A070514 * A070516 A070517 A070518

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 13 2002

STATUS

approved

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Last modified June 17 13:43 EDT 2021. Contains 345080 sequences. (Running on oeis4.)