A024082 7^n-n^7.

1, 6, -79, -1844, -13983, -61318, -162287, 0, 3667649, 35570638, 272475249, 1957839572, 13805455393, 96826261890, 678117659345, 4747390650568, 33232662134145, 232630103648534, 1628412985690417, 11398894291501404, 79792265017612001, 558545862282195466

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Comments

a(20)=79792265017612001 and a(24)=191581231375979942977 are primes, thus terms of A123206. - M. F. Hasler, Aug 20 2014

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A024012, A024026, A058794, A024040, A024054, A024068.

Programs

Magma

[7^n-n^7: n in [0..25]]; // Vincenzo Librandi, May 16 2011

Mathematica

Table[7^n - n^7, {n, 0, 25}] (* Stefan Steinerberger, Apr 08 2006 *)

Formula

G.f.: (1-9*x-85*x^2-407*x^3+5991*x^4+15665*x^5+8245*x^6+831*x^7+8*x^8)/((1-7*x)*(1-x)^8). - Bruno Berselli, May 16 2011

Extensions

More terms from Stefan Steinerberger, Apr 08 2006