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Ninth column of A109626.
1

%I #4 Mar 30 2012 18:36:50

%S 1,2,3,4,5,4,7,8,1,10,11,8,13,14,10,16,17,2,19,20,14,22,23,24,25,26,3,

%T 28,29,10,31,32,33,34,35,4,37,38,13,40,41,14,43,44,5,46,47,48,49,50,

%U 17,52,53,6,55,56,57,58,59,40,61,62,7,64,65,44,67,68,46,70,71,8,73,74,50

%N Ninth column of A109626.

%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, 128}]]; g[n_, m_] := f[n][[m]]; Table[ g[n, 9 + 1], {n, 75}]

%Y Cf. A109626.

%K nonn

%O 1,2

%A _Paul D. Hanna_ and _Robert G. Wilson v_, Aug 01 2005