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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.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 17 2000

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Last modified December 6 19:54 EST 2009. Contains 170429 sequences.


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