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Binomial(n+10,n) mod 10.
59

%I #19 Apr 26 2023 20:21:24

%S 1,1,6,6,1,3,8,8,8,8,6,6,6,6,6,0,5,5,0,0,5,5,0,0,0,6,6,6,6,6,8,8,3,3,

%T 8,6,1,1,6,6,0,0,0,0,0,0,0,0,5,5,6,6,1,1,6,8,8,8,8,8,6,6,6,6,1,5,0,0,

%U 5,5,0,0,0,0,0,6,6,6,6,6,3,3,8,8,3,1,6,6,6,6,0,0,0,0,0,0,5,5,0,0,1,1,6,6,6

%N Binomial(n+10,n) mod 10.

%C Periodic with length A133900(10)=4*10^2=400.

%H Ray Chandler, <a href="/A133890/b133890.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_231">Index entries for linear recurrences with constant coefficients</a>, order 231.

%F a(n) = binomial(n+10,10) mod 10.

%t Table[Mod[Binomial[10+n,n],10],{n,0,120}] (* _Harvey P. Dale_, Sep 19 2018 *)

%o (PARI) a(n)=binomial(n+10,10)%10 \\ _Charles R Greathouse IV_, Nov 22 2011

%Y Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636, A133880, A133900, A133910.

%K nonn,easy

%O 0,3

%A _Hieronymus Fischer_, Oct 10 2007