A098803 a(n) = n^7 * 7^n.

0, 7, 6272, 750141, 39337984, 1313046875, 32934190464, 678223072849, 12089663946752, 193010051319183, 2824752490000000, 38532504363714053, 495958345459089408, 6079641716636816419, 71493870602660352896

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (56,-1372,19208,-168070,941192,-3294172,6588344,-5764801).

Formula

G.f.: 7*x*(117649*x^6 +2016840*x^5 +2859591*x^4 +828688*x^3 +58359*x^2 +840*x +1) / (7*x -1)^8. - Colin Barker, Apr 30 2013

Example

a(1) = 1^7 * 7^1 = 7.
a(2) = 2^7 * 7^2 = 6272.

Mathematica

Table[n^7*7^n, {n, 1, 20}] (* Stefan Steinerberger, Mar 06 2006 *)

Prog

(Magma) [7^n*n^7: n in [0..20]]; // Vincenzo Librandi, Oct 27 2011
(PARI) a(n)=n^7*7^n \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A007758, A062074, A062075.

Sequence in context: A103174 A203693 A125036 * A246853 A225067 A281358

Adjacent sequences: A098800 A098801 A098802 * A098804 A098805 A098806

Keyword

nonn,easy

Author

Parthasarathy Nambi, Oct 05 2004

Extensions

More terms from Stefan Steinerberger, Mar 06 2006

Offset changed from 1 to 0 by Vincenzo Librandi, Oct 27 2011

Status

approved