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Expansion of Product_{k>=0} (1 + x^(3^k))^(3^(k+1)).
2

%I #9 Nov 07 2018 21:45:07

%S 1,3,3,10,27,27,45,108,108,147,333,333,480,1107,1107,1467,3294,3294,

%T 3801,8109,8109,9300,19791,19791,22644,48141,48141,50806,104277,

%U 104277,107011,216756,216756,224937,458055,458055,454437,905256,905256,870777,1707075,1707075

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

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

%e Product_{k>=0} (1 + x^(3^k))^(3^k) = 1 + x + 3*x^3 + 3*x^4 + 3*x^6 + 3*x^7 + 10*x^9 + 10*x^10 + 27*x^12 + 27*x^13 + 27*x^15 + 27*x^16 + 45*x^18 + 45*x^19 + ... .

%Y Cf. A073708, A321344, A321355, A321357.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 07 2018