A097625 - OEIS

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A097625

Sum_{k=0..n} (-2)^k * C(2n-k,k) * (n-k)! .

-1, 0, 2, -4, 8, 0, 80, 544, 5248, 53504, 601344, 7339520, 96797696, 1371889664, 20797212672, 335835828224, 5755617771520, 104346351861760, 1995288143593472, 40135085601325056, 847203499270995968 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`Permanent of certain n x 2 Toeplitz-(1,-1) matrices.`
	LINKS	`A. R. Kr\"auter, \"Uber die Permanente gewisser zirkul\"arer Matrizen..., Sem. Loth. Combin. B11b (1984) 82-94`
	MAPLE	`A097625 := proc(n) add((-2)^k(n-k)!binomial(2*n-k, k), k=0..n) ; end proc:` `seq(A097625(n), n=1..30) ; # R. J. Mathar, Sep 18 2011`
	CROSSREFS	`Cf. A000271.` `Sequence in context: A011179 A087570 A124221 * A010743 A072032 A023104` `Adjacent sequences: A097622 A097623 A097624 * A097626 A097627 A097628`
	KEYWORD	`sign`
	AUTHOR	`Ralf Stephan, Sep 20 2004`

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.