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Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1+x^n).
1

%I #9 Nov 04 2024 01:37:39

%S 1,0,-1,0,0,-1,-1,1,1,-1,0,1,0,-1,0,2,1,-1,0,1,0,-2,0,2,0,-2,0,1,-1,

%T -2,0,3,1,-3,0,2,-1,-4,1,4,-1,-3,1,2,-1,-4,2,5,0,-4,1,4,-2,-5,3,5,-1,

%U -5,2,4,-2,-6,3,8,-1,-8,3,6,-4,-9,5,8,-3,-9,4,7,-5,-11,7,11,-4,-12,7,9,-7,-13,9,12,-6,-14,9,10,-8,-16,13,15,-8,-17,12

%N Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1+x^n).

%H Robert Israel, <a href="/A078659/b078659.txt">Table of n, a(n) for n = 0..1000</a>

%p G:= 1/mul(1+x^n, n = {$2..100} minus {seq(2^i-1,i=1..6)}):

%p S:= series(G,x,101):

%p seq(coeff(S,x,i),i=0..100); # _Robert Israel_, Nov 03 2024

%K sign,look

%O 0,16

%A _N. J. A. Sloane_, Dec 15 2002