A017058 a(n) = (7*n + 6)^6.

46656, 4826809, 64000000, 387420489, 1544804416, 4750104241, 12230590464, 27680640625, 56800235584, 107918163081, 192699928576, 326940373369, 531441000000, 832972004929, 1265319018496, 1870414552161

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A017053 (7*n+6).

Programs

Magma

[(7*n+6)^6: n in [0..40]]; // Vincenzo Librandi, Jul 10 2011

Mathematica

(7*Range[0,20]+6)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{46656,4826809,64000000,387420489,1544804416,4750104241,12230590464},20] (* Harvey P. Dale, Sep 04 2015 *)

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)=46656, a(1)=4826809, a(2)=64000000, a(3)=387420489, a(4)=1544804416, a(5)=4750104241, a(6)=12230590464. - Harvey P. Dale, Sep 04 2015