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Period 10: repeat 0, 3, 6, 9, 2, 5, 8, 1, 4, 7.
5

%I #26 Dec 12 2023 09:26:37

%S 0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,

%T 2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,

%U 4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2,5,8,1,4,7,0,3,6,9,2

%N Period 10: repeat 0, 3, 6, 9, 2, 5, 8, 1, 4, 7.

%C a(n) = last digit of 3*n, n >= 0. a(n+7) = last digit of 3*n + 1, n >= 0, and a(n+4) = last digit of 3*n + 2, n >= 0. The last digit of -3*n = A144468(n), n >= 0, the last one of -3*n + 1 = A144468(n+3), n >= 0 and the last one of -3*n + 2 = A144468(n+6), n >= 0. - _Wolfdieter Lang_, Aug 14 2017

%H Vincenzo Librandi, <a href="/A131579/b131579.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1)

%F a(n) = A008585(n) mod 10. - _Bruno Berselli_, Mar 08 2011

%F G.f.: -x*(3 + 6*x + 9*x^2 + 2*x^3 + 5*x^4 + 8*x^5 + x^6 + 4*x^7 + 7*x^8) / ( (x-1) *(1+x) *(x^4 + x^3 + x^2 + x + 1) *(x^4 - x^3 + x^2 - x + 1) ). - _R. J. Mathar_, Mar 10 2011

%t PadRight[{}, 120, {0, 3, 6, 9, 2, 5, 8, 1, 4, 7}] (* _Vincenzo Librandi_, Aug 15 2017 *)

%o (Magma) &cat[[0,3,6,9,2,5,8,1,4,7]^^10]; // _Vincenzo Librandi_, Aug 15 2017

%Y Cf. A022336, A025648, A025655, A059626, A144468.

%K nonn,easy

%O 0,2

%A _Paul Curtz_, Oct 02 2007