login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A170980 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 8. 1
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,16
COMMENTS
(Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré polynomial for O(2m).
REFERENCES
H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..120 (full sequence)
FORMULA
a(n) = a(120-n). - Rick L. Shepherd, Mar 02 2013
CROSSREFS
Sequence in context: A238121 A171380 A323592 * A330369 A309577 A029301
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)