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Search: id:A118709
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| A118709 |
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a(n) = determinant of n X n circulant matrix whose first row is the first n cube numbers 0, 1, ..., (n-1)^3. |
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+0
1
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| 0, -1, 513, -532800, 1077540500, -3831689610000, 22051842087895137, -192710430555501494272, 2433436736207275231050384, -42684202683959414242500000000
(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) = 513 = determinant
|0,1,8|
|8,0,1|
|1,8,0|.
a(6) = 22051842087895137 = determinant
|0,1,8,27,64,125,216|
|216,0,1,8,27,64,125|
|125,216,0,1,8,27,64|
|64,125,216,0,1,8,27|
|27,64,125,216,0,1,8|
|8,27,64,125,216,0,1|
|1,8,27,64,125,216,0|.
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CROSSREFS
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See also: A000578 The cubes: a(n) = n^3. 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. A000578, A048954, A052182, A066933, A086459, A086569.
Sequence in context: A023878 A086030 A094647 this_sequence A103351 A045054 A116013
Adjacent sequences: A118706 A118707 A118708 this_sequence A118710 A118711 A118712
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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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