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A292138 G.f.: Im(1/(-i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). 3

%I

%S 0,-1,-1,0,0,0,1,2,2,2,2,3,3,2,2,2,1,-1,-2,-2,-4,-6,-7,-8,-10,-13,-14,

%T -14,-15,-17,-17,-15,-15,-16,-14,-10,-8,-6,-1,5,10,14,21,31,38,43,53,

%U 64,71,77,86,97,104,108,115,124,127,125,127,130,125,116,110,103,89

%N G.f.: Im(1/(-i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

%F 1/(-i*x; x)_inf is the g.f. for A292136(n) + i*a(n).

%F a(n) = -A292137(n).

%e Product_{k>=1} 1/(1 + i*x^k) = 1 + (0-1i)*x + (-1-1i)*x^2 + (-1+0i)*x^3 + (-1+0i)*x^4 + (-1+0i)*x^5 + (-2+1i)*x^6 + (-1+2i)*x^7 + ...

%Y Cf. A292042, A292052, A292136, A292137.

%K sign

%O 0,8

%A _Seiichi Manyama_, Sep 09 2017

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)