A017167 a(n) = (9*n)^7.

0, 4782969, 612220032, 10460353203, 78364164096, 373669453125, 1338925209984, 3938980639167, 10030613004288, 22876792454961, 47829690000000, 93206534790699, 171382426877952, 300124211606973

Offset

0,2

Links

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

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

Formula

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); a(0)=0, a(1)=4782969, a(2)=612220032, a(3)=10460353203, a(4)=78364164096, a(5)=373669453125, a(6)=1338925209984, a(7)=3938980639167. - Harvey P. Dale, Feb 21 2014

Mathematica

(9*Range[0, 20])^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 4782969, 612220032, 10460353203, 78364164096, 373669453125, 1338925209984, 3938980639167}, 20] (* Harvey P. Dale, Feb 21 2014 *)

Prog

(Magma) [(9*n)^7: n in [0..20]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Sequence in context: A224641 A323310 A017083 * A017383 A017503 A017635

Adjacent sequences: A017164 A017165 A017166 * A017168 A017169 A017170

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved