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Binomial(n+8,n) mod 8.
3

%I #10 Apr 16 2023 22:12:47

%S 1,1,5,5,7,7,3,3,6,6,6,6,2,2,2,2,7,7,3,3,1,1,5,5,4,4,4,4,4,4,4,4,5,5,

%T 1,1,3,3,7,7,2,2,2,2,6,6,6,6,3,3,7,7,5,5,1,1,0,0,0,0,0,0,0,0,1,1,5,5,

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

%N Binomial(n+8,n) mod 8.

%C Periodic with length 8^2=64.

%H <a href="/index/Rec#order_57">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1).

%F a(n)=binomial(n+8,8) mod 8.

%t Table[Mod[Binomial[n+8,n],8],{n,0,110}] (* _Harvey P. Dale_, Aug 08 2011 *)

%Y Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.

%Y Cf. A133878, A133880, A133890, A133900, A133910.

%K nonn

%O 0,3

%A _Hieronymus Fischer_, Oct 10 2007