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A125586 2^(2n-1) - (n+2)*3^(n-2). +0
2
1, 4, 17, 74, 323, 1400, 6005, 25478, 107015, 445556, 1841273, 7561922, 30897227, 125714672, 509767421, 2061390206, 8317305359, 33498803948, 134727010049, 541232563130, 2172291241811, 8712410196584, 34922863258757, 139921580805494, 560408087592983 (list; graph; listen)
OFFSET

1,2

COMMENT

Number of n X n nonsingular real matrices with entries {0,1} in which the top left n-1 X n-1 submatrix is the identity matrix. See A125587 for proof.

The number of singular matrices is given by A006234.

EXAMPLE

a(2) = 4:

10 10 11 11

01 11 01 10

CROSSREFS

Cf. A125587, A006234.

Adjacent sequences: A125583 A125584 A125585 this_sequence A125587 A125588 A125589

Sequence in context: A083330 A018902 A095940 this_sequence A086351 A049027 A026751

KEYWORD

nonn

AUTHOR

njas and Vinay Vaishampayan (vinay(AT)research.att.com), Jan 05 2007

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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