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Search: id:A060869
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| A060869 |
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Number of n X n matrices over GF(4) with rank 1. |
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+0
3
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| 3, 75, 1323, 21675, 348843, 5589675, 89467563, 1431612075, 22906317483, 366503176875, 5864059218603, 93824981052075, 1501199831050923, 24019197833685675, 384307167486454443, 6148914688373205675
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
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a(n) = 1/3 * (4^n - 1)^2
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EXAMPLE
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a(2) = 75 because there are 76 (the second element in sequence A060716) singular 2X2 matrices over GF(4), that have rank <= 1 of which only the zero matrix has rank zero so a(2) = 76 - 1 = 75.
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PROGRAM
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(PARI) { for (n=1, 200, write("b060869.txt", n, " ", (4^n - 1)^2 / 3); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 13 2009]
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CROSSREFS
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A060716.
Sequence in context: A093183 A125520 A163131 this_sequence A012491 A136328 A003690
Adjacent sequences: A060866 A060867 A060868 this_sequence A060870 A060871 A060872
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KEYWORD
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nonn,easy
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), May 04 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org) and Jason Earls (zevi_35711(AT)yahoo.com), May 07 2001
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