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Final digit of imaginary part of (n+n*i)^n.
2

%I #14 Oct 21 2023 09:33:48

%S 1,8,4,0,0,2,6,0,4,0,2,0,8,2,0,0,2,8,8,0,6,8,4,0,0,2,6,0,4,0,2,0,8,2,

%T 0,0,2,8,8,0,6,8,4,0,0,2,6,0,4,0,2,0,8,2,0,0,2,8,8,0,6,8,4,0,0,2,6,0,

%U 4,0,2,0,8,2,0,0,2,8,8,0,6,8,4,0,0,2

%N Final digit of imaginary part of (n+n*i)^n.

%H Vincenzo Librandi, <a href="/A238292/b238292.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%t im[n_, b_] := Mod[b + Im@PowerMod[(n + n I), n, b], b]; Table[im[n, 10], {n, 100}]

%Y Cf. A238291, A056849.

%K nonn,base

%O 1,2

%A _José María Grau Ribas_, Feb 22 2014