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A091929 Expansion of (1-6x)/(1-6x-11x^2). +0
1
1, 0, 11, 66, 517, 3828, 28655, 214038, 1599433, 11951016, 89299859, 667260330, 4985860429, 37255026204, 278374621943, 2080053019902, 15542438960785, 116135216983632, 867778130470427, 6484156169642514, 48450496453029781 (list; graph; listen)
OFFSET

0,3

COMMENT

Let the generating matrix of the Golay G_24 code be [I|A]. Then a(n)=(A^n)_1,1.

REFERENCES

S. Roman, Introduction to Coding and Information Theory, Springer-Verlag, 1996, p. 224

FORMULA

a(n)=(1/2-3sqrt(5)/20)(3+2sqrt(5))^n+(3-2sqrt(5))^n(1/2+3sqrt(5)/20)

CROSSREFS

Cf. A091927, A015553.

Sequence in context: A022576 A000460 A030115 this_sequence A058883 A141969 A142645

Adjacent sequences: A091926 A091927 A091928 this_sequence A091930 A091931 A091932

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 16 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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