A017082 a(n) = (8*n + 1)^6.

1, 531441, 24137569, 244140625, 1291467969, 4750104241, 13841287201, 34296447249, 75418890625, 151334226289, 282429536481, 496981290961, 832972004929, 1340095640625, 2081951752609, 3138428376721

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

Formula

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7); a(0)=1, a(1)=531441, a(2)=24137569, a(3)=244140625, a(4)=1291467969, a(5)=4750104241, a(6)=13841287201. - Harvey P. Dale, Dec 18 2012

Mathematica

(8*Range[0, 30]+1)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 531441, 24137569, 244140625, 1291467969, 4750104241, 13841287201}, 30] (* Harvey P. Dale, Dec 18 2012 *)

Prog

(Magma) [(8*n+1)^6: n in [0..30]]; // Vincenzo Librandi, Jul 11 2011

Crossrefs

Sequence in context: A210352 A321828 A038682 * A017166 A017382 A017502

Adjacent sequences: A017079 A017080 A017081 * A017083 A017084 A017085

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved