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Numbers k such that the coefficient of x^k in the expansion of Product_{j>=1} (1-x^j)^14 is zero.
6

%I #14 Dec 08 2018 20:48:38

%S 4,9,15,19,24,26,29,32,34,37,44,48,49,54,55,59,66,69,74,78,79,81,83,

%T 84,92,94,99,100,101,103,104,109,113,114,117,119,124,125,129,134,136,

%U 142,144,147,149,151,154,158,159,160,169,170,171,174,179,180,184,185,193,194

%N Numbers k such that the coefficient of x^k in the expansion of Product_{j>=1} (1-x^j)^14 is zero.

%C Indices of zero entries in A010821.

%H Seiichi Manyama, <a href="/A322432/b322432.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) my(x='x+O('x^300)); Vec(select(x->(x==0), Vec(eta(x)^14 - 1), 1)) \\ _Michel Marcus_, Dec 08 2018

%Y Numbers k such that the coefficient of x^k in the expansion of Product_{j>=1} (1 - x^j)^m is zero: A090864 (m=1), A213250 (m=2), A014132 (m=3), A302056 (m=4), A302057 (m=5), A020757 (m=6), A322430 (m=8), A322431 (m=10), this sequence (m=14), A322043 (m=15), A322433 (m=26).

%K nonn

%O 1,1

%A _Seiichi Manyama_, Dec 07 2018