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A170984 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 12. 11

%I #17 Jan 04 2021 04:08:12

%S 1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,1,2,2,0,1,4,1,0,2,4,1,0,4,

%T 5,1,1,5,5,1,1,7,6,1,3,9,6,0,4,11,6,0,7,13,5,1,9,15,5,2,13,16,4,3,16,

%U 17,4,5,21,18,2,8,24,17,2,12,29,16,3,16,31,15,3,21,35,13,4,27,35,11,6,33,37

%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 12.

%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="/A170984/b170984.txt">Table of n, a(n) for n = 0..276</a>

%o (PARI) my(m=12, x='x+O('x^275)); Vec((1+x^(2*m-1))*prod(i=1, m-1, 1+x^(4*i-1))) \\ _Jinyuan Wang_, Mar 08 2020

%K nonn,fini,full,easy

%O 0,19

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

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