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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-80,64).
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(MAGMAMagma) [ n*8^n-1: n in [1..20]]; // Vincenzo Librandi, Sep 16 2011
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a(n) = n*8^n - 1.
G.f.: x*(64*x^2 - 8*x - 7)/((x-1)*(8*x-1)^2). [_- _Colin Barker_, Oct 15 2012]
a(1)=7, a(2)=127, a(3)=1535, a(n) = 17*a(n-1) - 80*a(n-2) + 64*a (n-3); a(1)=7, a(2)=127, a(3)=1535. - Harvey P. Dale, May 20 2013
(MAGMA) [ n*8^n-1: n in [1..20]]; // _Vincenzo Librandi, _, Sep 16 2011
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<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (17,-80,64).
<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (17,-80,64).
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a(1)=7, a(2)=127, a(3)=1535, a(n)=17*a(n-1)-80*a(n-2)+64*a (n-3). - Harvey P. Dale, May 20 2013
Table[n*8^n-1, {n, 20}] (* or *) LinearRecurrence[{17, -80, 64}, {7, 127, 1535}, 20] (* Harvey P. Dale, May 20 2013 *)
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