A321355 - OEIS

A321355

Expansion of Product_{k>=0} (1 + x^(4^k))^(4^(k+1)).

%I #9 Nov 07 2018 21:45:14

%S 1,4,6,4,17,64,96,64,136,480,720,480,680,2240,3360,2240,2444,7536,

%T 11304,7536,7276,21568,32352,21568,21080,62752,94128,62752,62968,

%U 189120,283680,189120,178646,525464,788196,525464,454614,1292992,1939488,1292992,1085688,3049760

%N Expansion of Product_{k>=0} (1 + x^(4^k))^(4^(k+1)).

%C Also the coefficient of x^(4*n) in the expansion of Product_{k>=0} (1 + x^(4^k))^(4^k).

%e Product_{k>=0} (1 + x^(4^k))^(4^k) = 1 + x + 4*x^4 + 4*x^5 + 6*x^8 + 6*x^9 + 4*x^12 + 4*x^13 + 17*x^16 + 17*x^17 + 64*x^20 + 64*x^21 + 96*x^24 + 96*x^25 + ... .

%Y Cf. A073708, A321345, A321354, A321357.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 07 2018