A016855 a(n) = (5*n)^7.

0, 78125, 10000000, 170859375, 1280000000, 6103515625, 21870000000, 64339296875, 163840000000, 373669453125, 781250000000, 1522435234375, 2799360000000, 4902227890625, 8235430000000, 13348388671875

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Formula

a(0)=0, a(1)=78125, a(2)=10000000, a(3)=170859375, a(4)=1280000000, a(5)=6103515625, a(6)=21870000000, a(7)=64339296875, a(n)=8*a(n-1)- 28*a(n-2)+ 56*a(n-3)-70*a(n-4)+56*a(n-5)-28*a(n-6)+8*a(n-7)-a(n-8). - Harvey P. Dale, May 07 2013

Mathematica

(5*Range[0, 20])^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 78125, 10000000, 170859375, 1280000000, 6103515625, 21870000000, 64339296875}, 20] (* Harvey P. Dale, May 07 2013 *)
Table[(5 n)^7, {n, 0, 25}] (* Vincenzo Librandi, Apr 10 2017 *)

Prog

(Magma) [(5*n)^7: n in [0..20]]; // Vincenzo Librandi, Apr 10 2017

Crossrefs

Sequence in context: A051302 A145553 A016819 * A016975 A017047 A017131

Adjacent sequences: A016852 A016853 A016854 * A016856 A016857 A016858

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved