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A321344 Expansion of 1/(1 - x) * Product_{k>=0} 1/(1 - x^(3^k))^(3^(k+1)). 3

%I #11 Nov 07 2018 03:11:40

%S 1,4,10,29,71,146,309,615,1119,2068,3709,6289,10793,18206,29513,48201,

%T 77757,121668,191257,297847,452761,690524,1045661,1552697,2310786,

%U 3419082,4976739,7254407,10522736,15052376,21552205,30731101,43297942,61039239,85741503,119191245

%N Expansion of 1/(1 - x) * Product_{k>=0} 1/(1 - x^(3^k))^(3^(k+1)).

%C Also the coefficient of x^(3*n) in the expansion of Product_{k>=0} 1/(1 - x^(3^k))^(3^k).

%e Product_{k>=0} 1/(1 - x^(3^k))^(3^k) = 1 + x + x^2 + 4*x^3 + 4*x^4 + 4*x^5 + 10*x^6 + 10*x^7 + 10*x^8 + 29*x^9 + 29*x^10 + 29*x^11 + ... .

%o (PARI) seq(n)={Vec(1/((1 - x)*prod(k=0, logint(n,3), (1 - x^(3^k) + O(x*x^n))^(3^(k+1)))))} \\ _Andrew Howroyd_, Nov 06 2018

%Y Cf. A321335, A321345.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 06 2018

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