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

%S 1,1,1,3,5,6,7,4,6,5,11,6,13,14,5,12,17,18,19,5,21,22,23,8,25,13,9,28,

%T 29,10,31,8,33,17,35,21,37,38,26,20,41,21,43,22,45,46,47,44,49,25,34,

%U 13,53,9,55,56,19,29,59,20,61,62,42,16,65,22,67,51,23,70,71,72,73,37,75,38

%N Twelfth 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, 12 + 1], {n, 76}]

%Y Cf. A109626.

%K nonn

%O 1,4

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