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Search: id:A118704
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| A118704 |
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a(n) = determinant of n X n circulant matrix whose first row is the first n distinct Fibonacci numbers A000045(2), A000045(3), ... A000045(n+1). |
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+0
1
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| 1, -3, 18, -429, 24149, -3813376, 1513739413, -15754567131, 4215561680804992
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) alternates in sign.
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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) = - 3 because of the determinant - 3 =
| 1, 2 |
| 2, 1 |.
a(5) = 24149 = determinant
| 1, 2, 3, 5, 8 |
| 8, 1, 2, 3, 5 |
| 5, 8, 1, 2, 3 |
| 3, 5, 8, 1, 2 |
| 2, 3, 5, 8, 1 |.
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CROSSREFS
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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: A128775 A102100 A083000 this_sequence A132514 A070953 A064846
Adjacent sequences: A118701 A118702 A118703 this_sequence A118705 A118706 A118707
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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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