|
| |
|
|
A138896
|
|
Ratio of (2n-1)! to number of zeros in Sylvester matrix of polynomial of n degree with all nonzero coefficients.
|
|
2
| |
|
|
3, 15, 280, 11340, 798336, 86486400, 13343616000, 2778808032000, 750895681536000, 255454710858547200, 106826515449937920000, 53858368206010368000000, 32215590089995124736000000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,1
|
|
|
COMMENTS
| (2n-1)! = A009445 = number of monomials in determinant of symbolic square matrix of size 2n-1 X 2n-1 without zeros.
|
|
|
FORMULA
| a(n)=(2 n - 1)!/(2 (n - 1)^2) (n=2,3,4,...)
|
|
|
MATHEMATICA
| Table[(2 n - 1)!/(2 (n - 1)^2), {n, 2, 20}]
|
|
|
CROSSREFS
| Cf. A001105, A009445, A007878.
Sequence in context: A013354 A013356 A013353 * A090627 A070234 A036279
Adjacent sequences: A138893 A138894 A138895 * A138897 A138898 A138899
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Apr 02 2008
|
| |
|
|
