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A204695 a(n) = n^n (mod 9). 1
1, 1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0, 1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0, 1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0, 1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0, 1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
For n>0, periodic with period 18 = A174824(9): repeat [1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0].
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, 1).
FORMULA
G.f.: (x^18 - 8*x^17 - 7*x^16 - 7*x^14 - 4*x^13 - 5*x^11 - x^10 - x^8 - 7*x^7 - 2*x^5 - 4*x^4 - 4*x^2 - x - 1)/(x^18 - 1). - Chai Wah Wu, Jun 04 2016
a(n) = A000312(n) mod 9. - Michel Marcus, Jun 04 2016
MATHEMATICA
Table[PowerMod[n, n, 9], {n, 0, 100}]
Join[{1}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 4, 0, 4, 2, 0, 7, 1, 0, 1, 5, 0, 4, 7, 0, 7, 8, 0}, 86]] (* Ray Chandler, Aug 27 2015 *)
PROG
(PARI) a(n)=lift(Mod(n, 9)^n) \\ Charles R Greathouse IV, Jan 23 2012
CROSSREFS
Sequence in context: A010636 A222302 A222617 * A175435 A160214 A081087
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)