A322430 - OEIS

%I #17 Dec 12 2019 10:19:42

%S 3,7,11,13,15,18,19,23,27,28,29,31,35,38,39,43,45,47,48,51,53,55,59,

%T 61,62,63,67,68,71,73,75,77,78,79,83,84,87,88,91,93,95,98,99,103,106,

%U 107,109,111,113,115,117,118,119,123,125,127,128,130,131,135,138,139,141

%N Numbers k such that the coefficient of x^k in the expansion of Product_{j>=1} (1-x^j)^8 is zero.

%C Indices of zero entries in A000731.

%C Complement of A267137. - _Kemoneilwe Thabo Moseki_, Dec 12 2019

%H Seiichi Manyama, <a href="/A322430/b322430.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) my(x='x+O('x^160)); Vec(select(x->(x==0), Vec(eta(x)^8 - 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), this sequence (m=8), A322431 (m=10), A322432 (m=14), A322043 (m=15), A322433 (m=26).

%K nonn

%O 1,1

%A _Seiichi Manyama_, Dec 07 2018