A016857 a(n) = (5n)^9.

0, 1953125, 1000000000, 38443359375, 512000000000, 3814697265625, 19683000000000, 78815638671875, 262144000000000, 756680642578125, 1953125000000000, 4605366583984375, 10077696000000000, 20711912837890625

Offset

0,2

Links

Table of n, a(n) for n=0..13.

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

Formula

a(0)=0, a(1)=1953125, a(2)=1000000000, a(3)=38443359375, a(4)=512000000000, a(5)=3814697265625, a(6)=19683000000000, a(7)=78815638671875, a(8)=262144000000000, a(9)=756680642578125, a(n)=10*a(n-1)- 45*a(n-2)+ 120*a(n-3)- 210*a(n-4)+ 252*a(n-5)- 210*a(n-6)+ 120*a(n-7)- 45*a(n-8)+ 10*a(n-9)- a(n-10). - Harvey P. Dale, Jul 01 2014

Maple

A016857:=n->(5*n)^9: seq(A016857(n), n=0..20); # Wesley Ivan Hurt, Mar 30 2017

Mathematica

(5*Range[0, 20])^9 (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1953125, 1000000000, 38443359375, 512000000000, 3814697265625, 19683000000000, 78815638671875, 262144000000000, 756680642578125}, 20] (* Harvey P. Dale, Jul 01 2014 *)

Crossrefs

Sequence in context: A290500 A377162 A016821 * A016977 A017049 A017133

Adjacent sequences: A016854 A016855 A016856 * A016858 A016859 A016860

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved