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A060871
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Number of n X n matrices over GF(7) with rank 1.
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1
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6, 384, 19494, 960000, 47073606, 2306841984, 113036904294, 5538819840000, 271402252867206, 13298710955443584, 651636840771389094, 31930205225480640000, 1564580056242329380806, 76664422757230585805184
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
| a(n) = 1/6 * (7^n - 1)^2
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EXAMPLE
| a(2) = 384 because there are 385 (the second element in sequence A060721) singular 2X2 matrices over GF(7), that have rank <= 1 of which only the zero matrix has rank zero so a(2) = 385 - 1 = 384.
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PROG
| (PARI) { for (n=1, 200, write("b060871.txt", n, " ", (7^n - 1)^2 / 6); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 13 2009]
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CROSSREFS
| Cf. A060721.
Sequence in context: A099595 A158041 A078207 * A193133 A162137 A119645
Adjacent sequences: A060868 A060869 A060870 * A060872 A060873 A060874
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KEYWORD
| nonn,easy
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AUTHOR
| Ahmed Fares (ahmedfares(AT)my-deja.com), May 04 2001
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001
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