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%I #2 Mar 30 2012 17:31:16
%S 3,1,1,3,1,1,3,1,1,2,1,1,3,1,1,2,1,1,2,1,1,1,1,1,3,1,1,3,1,1,1,1,1,2,
%T 1,1,2,1,1,3,1,1,3,1,1,3,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,3,1,1,2,1,
%U 1,1,1,1,1,1,1,2,1,1,3,1,1,1,1,1,1,1,1,3,1,1,2,1,1,3,1,1,2,1,1,2,1,1,1,1,1
%N n divided by the second lower diagonal of A109626 & 3/2 -> 2.
%C A sequence of just 1's, 2's and 3's.
%C a/A111624(n)=1 if n == 0,2 (Mod 3).
%C a(3n-2): 3,3,3,2,3,2,2,1,3,3,1,2,2,3,3,3,1,2,2,1,1,3,2,1,1,2,3,1,1,3,2,3,2,2,1,2,3,2,2,2,3,3,3,3,2,1,1,3
%t f[n_] := f[n] = Block[{a}, a[0] = 1; a[l_] := a[l] = Block[{k = 1, s = Sum[ a[i]*x^i, {i, 0, l - 1}]}, While[ IntegerQ[ Last[ CoefficientList[ Series[(s + k*x^l)^(1/n), {x, 0, l}], x]]] != True, k++ ]; k]; Table[ a[j], {j, 0, 144}]]; g[n_, m_] := f[n][[m]];Table[ Ceiling[ n/g[n, n - 2]], {n, 3, 108}]
%Y Cf. A111624.
%K nonn
%O 1,1
%A _Robert G. Wilson v_, Aug 03 2005
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