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%I #15 Aug 01 2024 14:13:03
%S 1,1,2,1,1,1,2,1,2,0,2,1,2,1,1,1,1,1,3,1,2,1,0,1,1,1,3,1,2,0,2,1,2,1,
%T 1,0,2,2,2,0,1,1,3,1,1,1,1,1,1,1,4,1,1,1,0,2,2,1,1,0,2,0,2,1,2,1,4,1,
%U 2,0,0,1,3,1,0,1,1,1,2,1,2,1,3,1,1,1,2,0,1,0,3,2,1,1,0,2,2,1,4,0,0
%N Expansion of Sum_{k in Z} x^k / (1 - x^(7*k+2)).
%F G.f.: Product_{k>0} (1-x^(7*k))^3 * ((1-x^(7*k-3)) * (1-x^(7*k-4)))^2 / (1-x^k).
%F G.f.: Sum_{k in Z} x^(2*k) / (1 - x^(7*k+1)).
%o (PARI) my(N=110, x='x+O('x^N)); Vec(sum(k=-N, N, x^k/(1-x^(7*k+2))))
%o (PARI) my(N=110, x='x+O('x^N)); Vec(prod(k=1, N, (1-x^(7*k))^3*((1-x^(7*k-3))*(1-x^(7*k-4)))^2/(1-x^k)))
%Y Cf. A374900, A375106, A375149, A375150.
%Y Cf. A033687, A340453.
%K nonn,new
%O 0,3
%A _Seiichi Manyama_, Aug 01 2024
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