%I #14 Apr 16 2023 22:12:59
%S 1,1,1,4,4,4,1,1,1,2,2,2,8,8,8,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,7,7,7,4,
%T 4,4,5,5,5,2,2,2,5,5,5,6,6,6,6,6,6,6,6,6,7,7,7,1,1,1,7,7,7,8,8,8,5,5,
%U 5,8,8,8,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,1,1,1,2,2,2,8,8,8,2,2,2,3,3,3,3,3,3
%N a(n) = binomial(n+9,n) mod 9.
%C Periodic with length 9^2 = 81.
%H <a href="/index/Rec#order_73">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1).
%F a(n) = binomial(n+9,9) mod 9.
%t Table[Mod[Binomial[n+9,n],9],{n,0,110}] (* _Harvey P. Dale_, Jan 14 2012 *)
%Y Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.
%Y Cf. A133879, A133880, A133890, A133900, A133910.
%K nonn
%O 0,4
%A _Hieronymus Fischer_, Oct 10 2007