PROG
(MAGMAMagma) [(8*n+5)^5: n in [0..35] ]; // Vincenzo Librandi, Jul 21 2011
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(MAGMAMagma) [(8*n+5)^5: n in [0..35] ]; // Vincenzo Librandi, Jul 21 2011
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a(n) = (8*n + 5)^5.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6); a(0)=3125, a(1)=371293, a(2)=4084101, a(3)=20511149, a(4)=69343957, a(5)=184528125, a(n)=6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+ 6*a(n-5)- a(n. -6) [From _Harvey P. Dale, _, Oct 10 2011]
G.f.: ( 3125 + 352543*x + 1903218*x^2 + 1513438*x^3 + 159593*x^4 + 243*x^5 ) / ( (x-1)^6 ). - R. J. Mathar, May 08 2015
(MAGMA) [(8*n+5)^5: n in [0..35] ]; // _Vincenzo Librandi, _, Jul 21 2011
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editing
<a href="/index/Rec#order_06">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
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<a href="/index/Rec#order_06">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
G.f.: ( 3125 +352543*x +1903218*x^2 +1513438*x^3 +159593*x^4 +243*x^5 ) / ( (x-1)^6 ). - R. J. Mathar, May 08 2015
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editing
(8Range[0, 20]+5)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {3125, 371293, 4084101, 20511149, 69343957, 184528125}, 21] (* From _Harvey P. Dale, _, Oct 10 2011 *)
_N. J. A. Sloane (njas(AT)research.att.com)_.
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