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
Eric Weisstein's World of Mathematics, Nexus Number
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: (1+x)*(1+56*x+246*x^2+56*x^3+x^4)/(1-x)^6. - Colin Barker, Dec 21 2012
E.g.f.: (1 +62*x +270*x^2 +260*x^3 +75*x^4 +6*x^5)*exp(x). - G. C. Greubel, Aug 28 2019
G.f.: polylog(-6, 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
MATHEMATICA
Table[(n+1)^6-n^6, {n, 0, 30}] (* Vincenzo Librandi, Nov 22 2011 *)
PROG
(Magma) [(n+1)^6-n^6: n in [0..30]]; // Vincenzo Librandi, Nov 22 2011
(PARI) a(n)=(n+1)^6-n^6 \\ Charles R Greathouse IV, Sep 24 2015
(Sage) [(n+1)^6 -n^6 for n in (0..30)] # G. C. Greubel, Aug 28 2019
(GAP) List([0..30], n-> (n+1)^6 - n^6); # G. C. Greubel, Aug 28 2019
CROSSREFS
Column k=5 of array A047969.
Beginning with n=1, a subsequence of A181125 (difference of two positive 6th powers). - Mathew Englander, Jun 01 2014
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 14 1998
EXTENSIONS
More terms from Colin Barker, Dec 21 2012
STATUS
approved