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 (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: (x +1)*(x^8 +1012*x^7 +46828*x^6 +408364*x^5 +901990*x^4 +408364*x^3 +46828*x^2 +1012*x +1) / (x -1)^10. - Colin Barker, Dec 22 2012
G.f.: polylog(-10, 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
MAPLE
b:=10: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018
MATHEMATICA
Table[(n+1)^10-n^10, {n, 0, 20}] (* Vincenzo Librandi, Nov 22 2011 *)
PROG
(Magma) [(n+1)^10-n^10: n in [0..20]]; // Vincenzo Librandi, Nov 22 2011
(PARI) for(n=0, 20, print1((n+1)^10 - n^10, ", ")) \\ G. C. Greubel, Feb 27 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 22 2012
STATUS
approved