A158040 - OEIS

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A158040

Determinant of power series of gamma matrix with determinant 2!.

2, 32, 258, 1664, 9710, 53664, 286762, 1497600, 7691238, 38995360, 195696226, 973894272, 4812812446, 23642953376, 115552680090, 562240972800, 2724987988054, 13161369525408, 63371643947474, 304287501281920 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	COMMENTS	`a(n) = Determinant(A+A^2+ A^3+ A^4+ A^5+... A^n)` `where A is the submatrix A(1..3,1..3)= of the matrix with factorial determinant` `A = [[1,1,1,1,1,1,...],[1,2,1,2,1,2,...],[1,2,3,1,2,3,...],[1,2,3,4,1,2,...], [1,2,3,4,5,1,...],[1,2,3,4,5,6,...],...] note: Determinant A(1..n,1..n) = (n-1)!.`
	REFERENCES	`G. Balzarotti and P. P. Lava, Le sequenze di numeri interi, Hoepli, 2008.`
	LINKS	`Table of n, a(n) for n=0..19.`
	EXAMPLE	`a(1)=Determinant(A)=2!=2.`
	MAPLE	`seq(Determinant(sum(A2^i, i=1..n)), n=1..30);`
	CROSSREFS	`Cf. A111490.` `Sequence in context: A008512 A179074 A035602 * A202746 A212797 A203017` `Adjacent sequences: A158037 A158038 A158039 * A158041 A158042 A158043`
	KEYWORD	`nonn`
	AUTHOR	`Giorgio Balzarotti & Paolo P. Lava, Mar 11 2009`
	STATUS	`approved`

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Last modified May 24 04:20 EDT 2013. Contains 225613 sequences.