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A170980 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 8. 1

%I

%S 1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,0,3,1,0,1,3,1,0,2,4,1,0,3,4,0,0,5,

%T 4,0,2,6,3,0,2,7,3,0,4,8,1,0,6,7,1,1,8,6,0,2,8,5,0,3,10,3,0,5,8,2,0,6,

%U 8,1,1,7,6,0,1,8,4,0,3,7,2,0,3,6,2,0,4,5,0,0,4,3,0,1,4,2,0,1,3,1,0,1,3,0,0

%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 8.

%C (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré polynomial for O(2m).

%D H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.

%H Nathaniel Johnston, <a href="/A170980/b170980.txt">Table of n, a(n) for n = 0..120</a> (full sequence)

%F a(n) = a(120-n). - _Rick L. Shepherd_, Mar 02 2013

%K nonn,fini,full,easy

%O 0,16

%A _N. J. A. Sloane_, Aug 29 2010

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Last modified September 23 02:41 EDT 2021. Contains 347609 sequences. (Running on oeis4.)