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Search: id:A120741
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| 0, 3, 24, 171, 1200, 8403, 58824, 411771, 2882400, 20176803, 141237624, 988663371, 6920643600, 48444505203, 339111536424
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OFFSET
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0,2
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COMMENT
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Characteristic polynomial of M = x^2 - 8x + 7. A034494(n) + a(n) = 7^n; e.g. A034494(4) + a(4) = 1201 + 1200 = 2401 = 7^4. a(n)/a(n-1) tends to 7; e.g. 8403/1200 = 7.0025
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FORMULA
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a(n) = A034494(n) - 1. a(n) = 8*a(n-1) - 7*a(n-2), n>1. a(n) = right term in M^n * [1,0], where M = the 3x2 matrix [4,3; 3,4].
a(n)=-1/2+(1/2)*7^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 08 2008
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EXAMPLE
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a(4) = 1200 = A034494(4) - 1, where A034494(4) = 1201.
a(4) = 1200 = 8*a(3) - 7*a(2) = 8*171 - 7*24.
a(4) = 1200 = right term in M^n * [1,0] = [A034494(4), a(4)] = [1201, 1200].
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CROSSREFS
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Cf. A034494.
Sequence in context: A104527 A058038 A089697 this_sequence A073985 A110347 A027324
Adjacent sequences: A120738 A120739 A120740 this_sequence A120742 A120743 A120744
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KEYWORD
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nonn,new
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 30 2006
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