This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A204693 #24 Aug 31 2019 15:45:48
%S A204693 1,1,4,6,4,3,1,0,1,1,4,2,1,6,0,1,2,5,1,5,1,0,1,4,1,4,4,6,0,1,1,3,2,6,
%T A204693 1,0,1,2,2,1,2,6,0,1,4,6,4,3,1,0,1,1,4,2,1,6,0,1,2,5,1,5,1,0,1,4,1,4,
%U A204693 4,6,0,1,1,3,2,6,1,0,1,2,2,1,2,6,0,1,4
%N A204693 a(n) = n^n (mod 7).
%C A204693 For n>0, periodic with period 42 = A174824(7): repeat[1, 4, 6, 4, 3, 1, 0, 1, 1, 4, 2, 1, 6, 0, 1, 2, 5, 1, 5, 1, 0, 1, 4, 1, 4, 4, 6, 0, 1, 1, 3, 2, 6, 1, 0, 1, 2, 2, 1, 2, 6, 0].
%H A204693 <a href="/index/Rec#order_42">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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%F A204693 a(n) = a(n-42), n>42. - _R. J. Mathar_, Sep 25 2014
%F A204693 G.f.: ( -1 -4*x -2*x^37 -6*x^2 -4*x^22 -4*x^24 -4*x^25 -6*x^26 -x^28 -x^29 -3*x^30 -6*x^40 -2*x^31 -6*x^32 -x^33 -x^35 -x^17 -5*x^18 -x^19 -x^21 -x^23-x^38 -2*x^39 -2*x^36 -4*x^3 -3*x^4 -x^5 -x^7 -x^8 -4*x^9 -2*x^10 -x^11 -6*x^12 -x^14 -2*x^15 -5*x^16 ) / ( (x-1) *(1+x^6+x^5+x^4+x^3+x^2+x) *(1+x+x^2) *(1-x+x^3-x^4+x^6-x^8+x^9-x^11+x^12) *(1+x) *(1-x+x^2-x^3+x^4-x^5+x^6) *(1-x+x^2)*(1+x-x^3-x^4+x^6-x^8-x^9+x^11+x^12) ). - _R. J. Mathar_, Sep 25 2014
%t A204693 Table[PowerMod[n,n,7], {n,0,100}]
%o A204693 (PARI) a(n)=lift(Mod(n,7)^n) \\ _Charles R Greathouse IV_, Jan 23 2012
%Y A204693 Cf. A204671, A174824.
%K A204693 nonn,easy
%O A204693 0,3
%A A204693 _José María Grau Ribas_, Jan 18 2012