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A118712 a(n) = Determinant of n X n circulant matrix whose first row is A000001(1), A000001(2), ..., A000001(n) where A000001(n) = number of groups of order n. +0
1
0, 0, 0, -5, 6, -16, 9, -134400, 647248, -1711908, 6076067 (list; graph; listen)
OFFSET

1,4

LINKS

Eric Weisstein's World of Mathematics, Circulant Matrix.

EXAMPLE

a(4) = -5 because of the determinant -5 =

|1,1,1,2|

|2,1,1,1|

|1,2,1,1|

|1,1,2,1|.

a(11) = 6076067 = determinant

|1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1|

|1, 1, 1, 1, 2, 1, 2, 1, 5, 2, 2|

|2, 1, 1, 1, 1, 2, 1, 2, 1, 5, 2|

|2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 5|

|5, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1|

|1, 5, 2, 2, 1, 1, 1, 1, 2, 1, 2|

|2, 1, 5, 2, 2, 1, 1, 1, 1, 2, 1|

|1, 2, 1, 5, 2, 2, 1, 1, 1, 1, 2|

|2, 1, 2, 1, 5, 2, 2, 1, 1, 1, 1|

|1, 2, 1, 2, 1, 5, 2, 2, 1, 1, 1|

|1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 1|.

CROSSREFS

Cf. A000001, A048954, A052182, A066933, A086459, A086569.

Adjacent sequences: A118709 A118710 A118711 this_sequence A118713 A118714 A118715

Sequence in context: A019071 A028285 A007430 this_sequence A130878 A104422 A026547

KEYWORD

easy,sign

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), May 20 2006

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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