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Digital root of 8n.
8

%I #18 Mar 12 2024 13:09:57

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

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

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

%N Digital root of 8n.

%C Period of 9. - _Robert G. Wilson v_, Sep 20 2010

%C Essentially the same as A138531. - _R. J. Mathar_, Jul 09 2011

%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,1).

%F G.f.: -x*(9*x^8+x^7+2*x^6+3*x^5+4*x^4+5*x^3+6*x^2+7*x+8)/((x-1)*(x^2+x+1)*(x^6+x^3+1)). - _Colin Barker_, Aug 19 2012

%t f[n_] := Mod[8 n - 1, 9] + 1; f[0] = 0; Array[f, 105, 0] (* _Robert G. Wilson v_, Sep 20 2010 *)

%Y Cf. A007953, A010888, A180592 - A180599.

%K easy,nonn,base

%O 0,2

%A _Odimar Fabeny_, Sep 10 2010

%E More terms from _Robert G. Wilson v_, Sep 20 2010