A017133 a(n) = (8*n + 5)^9.

1953125, 10604499373, 794280046581, 14507145975869, 129961739795077, 756680642578125, 3299763591802133, 11694146092834141, 35452087835576229, 95151694449171437, 231616946283203125, 520411082988487293

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1)

Formula

G.f.: ( 1953125 + 10584968123*x + 688322943476*x^2 + 7041313606844*x^3 + 19360752364022*x^4 + 16797660632570*x^5 + 4504825791332*x^6 + 299109106604*x^7 + 2357750861*x^8 + 19683*x^9 ) / ( (x-1)^10 ). - R. J. Mathar, May 08 2015

Mathematica

(8*Range[0, 20]+5)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1953125, 10604499373, 794280046581, 14507145975869, 129961739795077, 756680642578125, 3299763591802133, 11694146092834141, 35452087835576229, 95151694449171437}, 20] (* Harvey P. Dale, Aug 29 2016 *)

Prog

(Magma) [(8*n+5)^9: n in [0..20] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016857 A016977 A017049 * A017229 A017337 A017457

Adjacent sequences: A017130 A017131 A017132 * A017134 A017135 A017136

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved