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A170977 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 5. 0

%I

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

%T 1,1,1,0,1,0,0,0,1,0,0,1

%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 5.

%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.

%t CoefficientList[Series[Product[1 + x^(4 i - 1), {i, 4}]*(1 + x^9), {x, 0, 45}], x] (* _Vincenzo Librandi_, Mar 14 2013 *)

%K nonn,fini,full

%O 0,19

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

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Last modified October 25 04:28 EDT 2021. Contains 348237 sequences. (Running on oeis4.)