A118712 - OEIS

This site is supported by donations to The OEIS Foundation.

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, 0, 0, -5, 6, -16, 9, -134400, 647248, -1711908, 6076067 (list; graph; refs; listen; history; internal format)

	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.` `Sequence in context: A019071 A028285 A007430 * A130878 A104422 A026547` `Adjacent sequences: A118709 A118710 A118711 * A118713 A118714 A118715`
	KEYWORD	`easy,sign`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), May 20 2006`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 22:55 EST 2012. Contains 205685 sequences.