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%I #31 Sep 08 2022 08:44:46
%S 1,255,6305,58975,325089,1288991,4085185,11012415,26269505,56953279,
%T 114358881,215622815,385749025,660058335,1087101569,1732076671,
%U 2680790145,4044203135,5963602465,8616436959,12222859361,17053014175,23435111745,31764328895,42512576449
%N Nexus numbers (n+1)^8 - n^8.
%D J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
%H Vincenzo Librandi, <a href="/A022524/b022524.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F 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
%F 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
%t Table[(n + 1)^8 - n^8, {n, 0, 25}] (* _Stefan Steinerberger_, Apr 09 2006 *)
%t Last[#]-First[#]&/@Partition[Range[0,30]^8,2,1] (* _Harvey P. Dale_, Nov 24 2013 *)
%t Differences[Range[0,30]^8] (* _Harvey P. Dale_, Sep 24 2021 *)
%o (Magma) [(n+1)^8-n^8: n in [0..30]]; // _Vincenzo Librandi_, Nov 22 2011
%o (PARI) a(n)=(n+1)^8-n^8 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Column k=7 of array A047969.
%Y Cf. A008292, A022523, A022525.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Stefan Steinerberger_, Apr 09 2006
%E More terms from _Colin Barker_, Dec 21 2012