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%I #11 Apr 26 2023 19:16:52
%S 1,6,21,6,1,2,12,17,12,2,3,18,13,18,3,4,24,9,24,4,5,5,5,5,5,6,11,1,11,
%T 6,7,17,22,17,7,8,23,18,23,8,9,4,14,4,9,10,10,10,10,10,11,16,6,16,11,
%U 12,22,2,22,12,13,3,23,3,13,14,9,19,9,14,15,15,15,15,15,16,21,11,21,16,17
%N Binomial(n+5,n) mod 5^2.
%C Periodic with length 5^3=125.
%H Ray Chandler, <a href="/A133885/b133885.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_121">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1).
%F a(n)=binomial(n+5,5) mod 5^2.
%F G.f. g(x)=sum{0<=k<125, a(k)*x^k}/(1-x^125).
%t Table[Mod[Binomial[n+5,n],25],{n,0,90}] (* _Harvey P. Dale_, Jan 12 2023 *)
%Y Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.
%Y Cf. A133875, A133880, A133890, A133900, A133910.
%Y For the sequence regarding binomial(n+5, n) mod 5 see A133875.
%K nonn
%O 0,2
%A _Hieronymus Fischer_, Oct 10 2007
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