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Search: id:A095898
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| A095898 |
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The (1,1)-term of the 3 X 3 matrix M^n, where M=[1,2,3; 4,7,11; 6,10,16]. |
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| 1, 27, 649, 15603, 375121, 9018507, 216819289, 5212681443, 125321173921, 3012920855547, 72435421707049, 1741463041824723, 41867548425500401, 1006562625253834347, 24199370554517524729, 581791455933674427843
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=24a(n-1)+a(n-2) for n>=3; a(1)=1, a(2)=27 (follows from the minimal polynomial of the matrix M).
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EXAMPLE
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a(4)=15603 because M^4=[15603,26590,42193 / 56642,96527,153169 / 82078,139874,221952]. Alternatively, a(4)=24*649+27=15603.
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MAPLE
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a[1]:=1: a[2]:=27: for n from 3 to 18 do a[n]:=24*a[n-1]+a[n-2] od: seq(a[n], n=1..18);
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CROSSREFS
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Cf. A083412, A035513, A003622, A001950, A000201.
Sequence in context: A060603 A116988 A113364 this_sequence A014914 A097781 A073537
Adjacent sequences: A095895 A095896 A095897 this_sequence A095899 A095900 A095901
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 12 2004
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
Edited by njas, Dec 16 2006
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