A118702 - OEIS

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A118702

a(n) = determinant of n X n circulant matrix whose first row is the first n Lucas numbers A000032.

2, 3, 18, 0, 8347, -861952, 391524998, 348940406250, 893329160995712, -5499366235206395112 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`Eric Weisstein's World of Mathematics, Circulant Matrix.`
	EXAMPLE	`a(4) = 0 because of the singular matrix:` `[2, 1, 3, 4]` `[4, 2, 1, 3]` `[3, 4, 2, 1]` `[1, 3, 4, 2].` `Determinant of matrix, for n = 8, is 348940406250 =` `\| 2, 1, 3, 4, 7, 11, 18, 29 \|` `\| 1, 3, 4, 7, 11, 18, 29, 2 \|` `\| 3, 4, 7, 11, 18, 29, 2, 1 \|` `\| 4, 7, 11, 18, 29, 2, 1, 3 \|` `\| 7, 11, 18, 29, 2, 1, 3, 4 \|` `\| 11, 18, 29, 2, 1, 3, 4, 7 \|` `\| 18, 29, 2, 1, 3, 4, 7, 11 \|` `\| 29, 2, 1, 3, 4, 7, 11, 29 \|`
	CROSSREFS	`A000032 Lucas numbers (beginning at 2): L(n) = L(n-1) + L(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. A000032, A048954, A052182, A066933, A086459, A086569.` `Sequence in context: A041383 A042903 A132534 * A073524 A130226 A032808` `Adjacent sequences: A118699 A118700 A118701 * A118703 A118704 A118705`
	KEYWORD	`easy,sign`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), May 20 2006`

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Last modified February 16 06:46 EST 2012. Contains 205867 sequences.