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A070507
a(n) = n^3 mod 45.
1
0, 1, 8, 27, 19, 35, 36, 28, 17, 9, 10, 26, 18, 37, 44, 0, 1, 8, 27, 19, 35, 36, 28, 17, 9, 10, 26, 18, 37, 44, 0, 1, 8, 27, 19, 35, 36, 28, 17, 9, 10, 26, 18, 37, 44, 0, 1, 8, 27, 19, 35, 36, 28, 17, 9, 10, 26, 18, 37, 44, 0, 1, 8, 27, 19, 35, 36, 28, 17, 9, 10, 26, 18, 37, 44, 0
OFFSET
0,3
COMMENTS
Equivalently: n^(12*m + 3) mod 45. - G. C. Greubel, Mar 31 2016
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
From G. C. Greubel, Mar 31 2016: (Start)
a(n+15) = a(n).
G.f.: (-x -8*x^2 -27*x^3 -19*x^4 -35*x^5 -36*x^6 -28*x^7 -17*x^8 -9*x^9 -10*x^10 -26*x^11 -18*x^12 -37*x^13 -44*x^14)/(-1 + x^15). (End)
MATHEMATICA
PowerMod[Range[0, 80], 3, 45] (* Harvey P. Dale, Apr 21 2011 *)
PROG
(Sage) [power_mod(n, 3, 45) for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 45): n in [0..80]]; // Bruno Berselli, Mar 31 2016
(PARI) a(n)=n^3%45 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Sequence in context: A361264 A070509 A070508 * A070506 A070505 A070504
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved