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First differences of A121347.
1

%I #6 May 09 2013 19:20:31

%S 2,1,2,2,1,2,2,1,2,2,1,2,2,2,1,2,2,1,2,2,2,1,2,2,1,2,2,2,1,2,2,2,1,2,

%T 2,2,1,2,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,1,2,

%U 2,2,1,2,2,2,2,1,2,2,2,1,2,2,2,2,1,2,2

%N First differences of A121347.

%C Apparently a(n) = 1 or 2. From first 10000 terms, 8597 terms = 2.

%H Zak Seidov, <a href="/A225515/b225515.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A121347(n+2) - A121347(n+1).

%t s={2}; f1=4; f2=2; k=2; Do[f1=f1*n^2; While[f2<f1, k++; f2=f2*k]; AppendTo[s,k-1], {n,3,100}]; Rest[s]-Most[s]

%Y Cf. A121347.

%K nonn

%O 1,1

%A _Zak Seidov_, May 09 2013