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%I #4 Mar 30 2012 18:36:50
%S 1,1,3,4,5,6,7,4,3,5,11,4,13,14,10,8,17,3,19,20,21,22,23,12,25,13,9,
%T 28,29,10,31,16,22,17,35,24,37,38,39,20,41,21,43,44,15,46,47,40,49,25,
%U 34,52,53,36,55,28,57,29,59,60,61,62,21,32,65,55,67,68,46,70,71,12,73,37
%N Sixth column of A109626.
%F G.f.: Q(x)/(1-x^72)^2 where Q(x) is 142-degree polynomial: Q(x)=1+x+3x^2+4x^3+5x^4+6x^5+7x^6+4x^7+...
%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, 6 + 1], {n, 74}]
%Y Cf. A109626.
%K nonn
%O 1,3
%A _Paul D. Hanna_ and _Robert G. Wilson v_, Aug 01 2005
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