A017181 (9n+1)^9.

1, 1000000000, 322687697779, 10578455953408, 129961739795077, 922190162669056, 4605366583984375, 18014398509481984, 58871586708267913, 167619550409708032, 427929800129788411, 1000000000000000000

Offset

0,2

Links

Table of n, a(n) for n=0..11.

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

Formula

G.f.: ( 1 +999999990*x +312687697824*x^2 +7396578975498*x^3 +38578126661262*x^4 +60090758887914*x^5 +29840950197120*x^6 +4249664711766*x^7 +117245699217*x^8 +134217728*x^9 ) / (x-1)^10 . - R. J. Mathar, Jul 07 2017

Mathematica

(9*Range[0, 20]+1)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 1000000000, 322687697779, 10578455953408, 129961739795077, 922190162669056, 4605366583984375, 18014398509481984, 58871586708267913, 167619550409708032}, 20] (* Harvey P. Dale, Mar 19 2018 *)

Crossrefs

Sequence in context: A030455 A250600 A250864 * A017277 A017517 A204593

Adjacent sequences: A017178 A017179 A017180 * A017182 A017183 A017184

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved