A111629 a(n) = A109626(3n, n)/n.
1, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 3, 3, 1, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 2, 3, 3, 2, 3, 3, 1, 3
Offset: 1
Crossrefs
Cf. A109626.
Programs
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Mathematica
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[3n, n]/n, {n, 53}]
Comments