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Search: id:A118707
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| A118707 |
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a(n) = determinant of n X n circulant matrix whose first row is the first n square numbers 0, 1, ..., (n-1)^2. |
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+0
1
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| 0, -1, 65, -6720, 1080750, -252806400, 81433562119, -34630270976000, 18813448225370124, -12719917900800000000, 10478214213011739186685
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Eric Weisstein's World of Mathematics, Circulant Matrix.
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EXAMPLE
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a(2) = -1 because of the determinant -1 =
| 0, 1 |
| 1, 0 |.
a(3) = 65 = determinant
|0,1,4|
|4,0,1|
|1,4,0|.
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CROSSREFS
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See also: A000290 The squares: a(n) = n^2. 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. A000290, A048954, A052182, A066933, A086459, A086569.
Sequence in context: A115432 A116104 A116121 this_sequence A093265 A120801 A084225
Adjacent sequences: A118704 A118705 A118706 this_sequence A118708 A118709 A118710
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KEYWORD
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easy,sign
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), May 20 2006
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