PROG
(MAGMAMagma) [(3*5^n-1)/2: n in [0..30]]; // Vincenzo Librandi, Oct 30 2011
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(MAGMAMagma) [(3*5^n-1)/2: n in [0..30]]; // Vincenzo Librandi, Oct 30 2011
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5).
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a(n) = (3 * 5^n - 1)/2.
G.f.: (1+x)/(1 - 6*x + 5*x^2).
a(0)=1, a(n) = 5*a(n-1) + 2; a(n) = a(n-1) + 6*{(5^(n-1)}). - Amarnath Murthy, May 27 2001
a(n) = 6*a(n-1) - 5*a(n-2), n > 1. - Vincenzo Librandi, Oct 30 2011
G.f=(1+x)/(1-5*x)/(1-x): gser:=series(g, x=0, 43): seq(coeff(gser, x, n), n=0..30); [From _# _Zerinvary Lajos_, Jan 11 2009]
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<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (6,-5).
<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,-5).
<a href="/Sindx_Rea.htmlindex/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,-5).