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A070492
a(n) = n^3 mod 30.
2
0, 1, 8, 27, 4, 5, 6, 13, 2, 9, 10, 11, 18, 7, 14, 15, 16, 23, 12, 19, 20, 21, 28, 17, 24, 25, 26, 3, 22, 29, 0, 1, 8, 27, 4, 5, 6, 13, 2, 9, 10, 11, 18, 7, 14, 15, 16, 23, 12, 19, 20, 21, 28, 17, 24, 25, 26, 3, 22, 29, 0, 1, 8, 27, 4, 5, 6, 13, 2, 9, 10, 11, 18, 7, 14, 15, 16, 23
OFFSET
0,3
COMMENTS
Equivalently n^7 mod 30. - Zerinvary Lajos, Oct 29 2009
Equivalent: n^(4m+3) mod 30, m>=0, m integer. - G. C. Greubel, Mar 30 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
a(n) = a(n-30). - G. C. Greubel, Mar 30 2016
G.f.: -x*(1 +8*x +27*x^2 +3*x^26 +22*x^27 +29*x^28 +4*x^3 +5*x^4 +6*x^5 +13*x^6 +2*x^7 +9*x^8 +10*x^9 +18*x^11 +11*x^10 +7*x^12 +14*x^13 +15*x^14 +16*x^15 +23*x^16 +12*x^17 +19*x^18 +20*x^19 +21*x^20 +28*x^21 +17*x^22 +24*x^23 +25*x^24 +26*x^25) / ( (x-1) *(1+x^4+x^3+x^2+x) *(1+x+x^2)*(1-x+x^3-x^4+x^5-x^7+x^8) *(1+x) *(1-x+x^2-x^3+x^4) *(1-x+x^2) *(1+x-x^3-x^4-x^5+x^7+x^8) ). - R. J. Mathar, Feb 12 2024
MATHEMATICA
PowerMod[Range[0, 80], 3, 30] (* Harvey P. Dale, Jun 09 2013 *)
PROG
(Sage) [power_mod(n, 3, 30)for n in range(0, 78)] # Zerinvary Lajos, Oct 29 2009
(PARI) a(n)=n^3%30 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Sequence in context: A350625 A070493 A257853 * A070711 A282462 A056555
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved