|
Search: id:A118705
|
|
|
| A118705 |
|
a(n) = determinant of n X n circulant matrix whose first row is the first n triangular numbers A000217(0), A000217(1), ... A000217(n-1). |
|
+0
1
|
|
| 0, -1, 28, -1360, 105500, -12051585, 1908871832, -400855203840
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Circulant Matrix.
|
|
EXAMPLE
|
a(2) = - 1 because of the determinant -1 =
| 0, 1 |
| 1, 0 |.
a(4) = -1360 = determinant
|0,1,3,6|
|6,0,1,3|
|3,6,0,1|
|1,3,6,0|.
|
|
CROSSREFS
|
See also: A048954 Wendt determinant of n-th circulant matrix C(n). A052182 Circulant of natural numbers. A066933 Circulant of prime numbers. A086459 Circulant of powers of 2.
Cf. A000045, A048954, A052182, A066933, A086459, A086569.
Sequence in context: A092705 A061321 A091993 this_sequence A013926 A110696 A007222
Adjacent sequences: A118702 A118703 A118704 this_sequence A118706 A118707 A118708
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Jonathan Vos Post (jvospost2(AT)yahoo.com), May 20 2006
|
|
|
Search completed in 0.002 seconds
|
