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A056989 Number of nonsingular n X n (-1,0,1)-matrices (over the reals). 6
2, 48, 11808, 27947520, 609653621760 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to binary matrices

FORMULA

It would be nice to have an estimate for the asymptotic rate of growth.

EXAMPLE

a(1) = 2: [1], [ -1].

a(2) = 48: There are 8 choices for the first column, u (say) and then the 2nd column can be anything except 0, u, -u, so 6 choices, giving a total of 8*6 = 48.

CROSSREFS

Cf. A055165, A053290, A056990; A055165, A002884, A046747.

Sequence in context: A002820 A196448 A053290 * A090770 A081960 A123742

Adjacent sequences:  A056986 A056987 A056988 * A056990 A056991 A056992

KEYWORD

nonn,nice,more

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

a(4) from Winston C. Yang (winston(AT)cs.wisc.edu), Aug 27 2000

Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Jan 02 2007

a(5) from Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 20 2009

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Last modified February 16 21:04 EST 2012. Contains 205969 sequences.