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Search: id:A091929
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| A091929 |
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Expansion of (1-6x)/(1-6x-11x^2). |
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+0 1
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| 1, 0, 11, 66, 517, 3828, 28655, 214038, 1599433, 11951016, 89299859, 667260330, 4985860429, 37255026204, 278374621943, 2080053019902, 15542438960785, 116135216983632, 867778130470427, 6484156169642514, 48450496453029781
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Let the generating matrix of the Golay G_24 code be [I|A]. Then a(n)=(A^n)_1,1.
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REFERENCES
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S. Roman, Introduction to Coding and Information Theory, Springer-Verlag, 1996, p. 224
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FORMULA
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a(n)=(1/2-3sqrt(5)/20)(3+2sqrt(5))^n+(3-2sqrt(5))^n(1/2+3sqrt(5)/20)
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CROSSREFS
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Cf. A091927, A015553.
Sequence in context: A022576 A000460 A030115 this_sequence A058883 A141969 A142645
Adjacent sequences: A091926 A091927 A091928 this_sequence A091930 A091931 A091932
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 16 2004
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