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A097625
a(n) = Sum_{k=0..n} (-2)^k * binomial(2n-k,k) * (n-k)!.
1
-1, 0, 2, -4, 8, 0, 80, 544, 5248, 53504, 601344, 7339520, 96797696, 1371889664, 20797212672, 335835828224, 5755617771520, 104346351861760, 1995288143593472, 40135085601325056, 847203499270995968
OFFSET
1,3
COMMENTS
Permanent of certain n X 2 Toeplitz-(1,-1) matrices.
LINKS
A. R. Kräuter, Über die Permanente gewisser zirkulärer 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: A087570 A124221 A339415 * A371133 A010743 A072032
KEYWORD
sign
AUTHOR
Ralf Stephan, Sep 20 2004
STATUS
approved