|
| |
|
|
A093605
|
|
Numerators of sqrt(2) term in expected number of complex eigenvalues in an n X n real matrix with entries chosen from a standard normal distribution.
|
|
0
| |
|
|
0, 1, 11, 13, 211, 271, 1919, 2597, 67843, 95259, 588933, 850251, 10098967, 14904091, 85806311, 128927573, 5792144099, 8834766227, 48605936617, 75096287791, 812156618077, 1268822838961, 6760265315081, 10665172132163
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| Related to factored form of Beta[ -1,n,3/2].
|
|
|
LINKS
| Eric Weisstein's World of Mathematics, Random Matrix
|
|
|
FORMULA
| a(n+1)=sum{k=0..floor(n/2), C(2(n-2k),n-2k)*16^k}/sum{k=0..n, mod(C(n,k),2)}; - Paul Barry (pbarry(AT)wit.ie), Oct 26 2007
|
|
|
EXAMPLE
| 0, 2-sqrt(2), 2-sqrt(2)/2, 4-(11*sqrt(2))/8, 4-(13*sqrt(2))/16, 6-(211*sqrt(2))/128, ...
|
|
|
CROSSREFS
| Cf. A046161, A052928.
Sequence in context: A144375 A140969 A064759 * A155967 A111070 A110115
Adjacent sequences: A093602 A093603 A093604 * A093606 A093607 A093608
|
|
|
KEYWORD
| nonn,frac
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004
|
|
|
EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), Apr 22 2010
|
| |
|
|
