A098803 a(n) = n^7 * 7^n.
0, 7, 6272, 750141, 39337984, 1313046875, 32934190464, 678223072849, 12089663946752, 193010051319183, 2824752490000000, 38532504363714053, 495958345459089408, 6079641716636816419, 71493870602660352896
Offset: 0
Examples
a(1) = 1^7 * 7^1 = 7. a(2) = 2^7 * 7^2 = 6272.
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).
Programs
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Magma
[7^n*n^7: n in [0..20]]; // Vincenzo Librandi, Oct 27 2011
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Mathematica
Table[n^7*7^n, {n, 1, 20}] (* Stefan Steinerberger, Mar 06 2006 *) -
PARI
a(n)=n^7*7^n \\ Charles R Greathouse IV, Oct 07 2015
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
Extensions
More terms from Stefan Steinerberger, Mar 06 2006
Offset changed from 1 to 0 by Vincenzo Librandi, Oct 27 2011