OFFSET
0,2
REFERENCES
J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
G.f.: (x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1) / (x-1)^8. - Colin Barker, Dec 21 2012
G.f.: polylog(-8, x)*(1-x)/x. See the g.f. of Colin Barker (with expanded numerator), and the g.f. of the rows of A008292 by Vladeta Jovovic, Sep 02 2002. - Wolfdieter Lang, May 10 2021
MATHEMATICA
Table[(n + 1)^8 - n^8, {n, 0, 25}] (* Stefan Steinerberger, Apr 09 2006 *)
Last[#]-First[#]&/@Partition[Range[0, 30]^8, 2, 1] (* Harvey P. Dale, Nov 24 2013 *)
Differences[Range[0, 30]^8] (* Harvey P. Dale, Sep 24 2021 *)
PROG
(Magma) [(n+1)^8-n^8: n in [0..30]]; // Vincenzo Librandi, Nov 22 2011
(PARI) a(n)=(n+1)^8-n^8 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Stefan Steinerberger, Apr 09 2006
More terms from Colin Barker, Dec 21 2012
STATUS
approved