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0, 839, 1678, 2517, 3356, 4195, 5034, 5873, 6712, 7551, 8390, 9229, 10068, 10907, 11746, 12585, 13424, 14263, 15102, 15941, 16780, 17619, 18458, 19297, 20136, 20975, 21814, 22653, 23492, 24331, 25170, 26009, 26848, 27687, 28526
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OFFSET
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0,2
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COMMENTS
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The 146th prime number (839) and some of its multiples are related to the exceptional Lie group E_8 calculation because the result is a matrix with 453060 rows and columns. The size of the matrix is the member a(540)=453060 of this sequence. The number 839 is the largest prime factor of 453060 because we can write 2*2*3*3*3*5*839=453060. The number of entries of the matrix is the member a(244652400)=453060*453060=205263363600.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..1000
American Institute of Mathematics, Mathematicians Maps E_8.
Index entries for linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
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From G. C. Greubel, Oct 25 2016: (Start)
a(n) = 2*a(n-1) - a(n-2).
G.f.: (839*x)/(1 - x)^2.
E.g.f.: 839*x*exp(x). (End)
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EXAMPLE
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a(1)=839. a(540)=540*839=453060. a(244652400)=244652400*839=205263363600.
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MATHEMATICA
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839Range[0, 40] (* Harvey P. Dale, Sep 13 2011 *)
LinearRecurrence[{2, -1}, {0, 839}, 25] (* G. C. Greubel, Oct 25 2016 *)
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CROSSREFS
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Cf. A064730, A134888, A134950, A134960, A135631.
Sequence in context: A284187 A202716 A118380 * A158401 A290119 A156937
Adjacent sequences: A135636 A135637 A135638 * A135640 A135641 A135642
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KEYWORD
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easy,nonn
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AUTHOR
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Omar E. Pol, Nov 27 2007
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STATUS
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approved
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