%I #4 Mar 30 2012 18:36:50
%S 1,2,3,1,5,3,7,7,9,10,11,12,13,7,15,10,17,18,19,15,21,11,23,9,25,26,
%T 27,14,29,15,31,4,33,34,35,9,37,19,39,35,41,42,43,44,45,23,47,30,49,
%U 50,51,39,53,27,55,21,57,58,59,30,61,31,63,8,65,66,67,17,69,35,71,63,73,74,75
%N Eighth 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, 8 + 1], {n, 111}]
%Y Cf. A109626.
%K nonn
%O 1,2
%A _Paul D. Hanna_ and _Robert G. Wilson v_, Aug 01 2005