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A002820 Number of n X n invertible binary matrices A such that A+I is invertible.
(Formerly M2170 N0866)
+0
6
2, 48, 5824, 2887680, 5821595648, 47317927329792, 1544457148312846336, 202039706313624586813440, 105823549214125066767168438272, 221819704567105547916502447159246848 (list; graph; listen)
OFFSET

2,1

REFERENCES

P. F. Duvall, Jr., and P. W. Harley, III, A note on counting matrices, SIAM J. Appl. Math., 20 (1971), 374-377.

Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

LINKS

Kent Morrison, Matrices over F_q with no eigenvalues of 0 or 1

Index entries for sequences related to binary matrices

FORMULA

Reference gives a recurrence.

2^[n(n-1)/2] * A005327(n+1).

CROSSREFS

Cf. A002884.

Sequence in context: A087085 A067626 A053071 this_sequence A053290 A056989 A090770

Adjacent sequences: A002817 A002818 A002819 this_sequence A002821 A002822 A002823

KEYWORD

nonn,nice,easy

AUTHOR

njas

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 17 2000

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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