%I #4 Mar 30 2012 18:36:50
%S 1,1,3,4,4,6,7,8,9,3,11,6,13,14,15,8,17,9,19,20,21,22,23,24,5,13,27,
%T 14,29,6,31,16,33,17,14,36,37,38,39,16,41,21,43,22,27,46,47,24,49,5,
%U 51,52,53,54,44,56,57,29,59,18,61,62,63,32,65,33,67,68,69,70,71,72,73,37,15
%N Tenth 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, 10 + 1], {n, 75}]
%Y Cf. A109626.
%K nonn
%O 1,3
%A _Paul D. Hanna_ and _Robert G. Wilson v_, Aug 01 2005