A017129 a(n) = (8*n + 5)^5.

3125, 371293, 4084101, 20511149, 69343957, 184528125, 418195493, 844596301, 1564031349, 2706784157, 4437053125, 6956883693, 10510100501, 15386239549, 21924480357, 30517578125, 41615795893

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

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. - 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

Mathematica

(8Range[0, 20]+5)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {3125, 371293, 4084101, 20511149, 69343957, 184528125}, 21] (* Harvey P. Dale, Oct 10 2011 *)

Prog

(Magma) [(8*n+5)^5: n in [0..35] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016853 A016973 A017045 * A017225 A223231 A017333

Adjacent sequences: A017126 A017127 A017128 * A017130 A017131 A017132

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved