A017166 a(n) = (9*n)^6.

0, 531441, 34012224, 387420489, 2176782336, 8303765625, 24794911296, 62523502209, 139314069504, 282429536481, 531441000000, 941480149401, 1586874322944, 2565164201769, 4001504141376, 6053445140625

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)=0, a(1)=531441, a(2)=34012224, a(3)=387420489, a(4)=2176782336, a(5)=8303765625, a(6)=24794911296. - Harvey P. Dale, Apr 01 2014

Mathematica

(9*Range[0, 20])^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 531441, 34012224, 387420489, 2176782336, 8303765625, 24794911296}, 20] (* Harvey P. Dale, Apr 01 2014 *)

Prog

(Magma) [(9*n)^6: n in [0..20]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Sequence in context: A321828 A038682 A017082 * A017382 A017502 A017634

Adjacent sequences: A017163 A017164 A017165 * A017167 A017168 A017169

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved