This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A022529 #25 Jul 08 2025 09:16:56
%S A022529 1,8191,1586131,65514541,1153594261,11839990891,83828316391,
%T A022529 452866803481,1992110014441,7458134171671,24522712143931,
%U A022529 72470493235141,195881901213181,490839666661891,1152480295105231,2557404559011121,5400978405535441,10918386832765231
%N A022529 Nexus numbers (n+1)^13-n^13.
%D A022529 J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
%H A022529 Vincenzo Librandi, <a href="/A022529/b022529.txt">Table of n, a(n) for n = 0..10000</a>
%H A022529 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
%F A022529 a(n) = A010801(n+1) - A010801(n). - _Michel Marcus_, Sep 25 2014
%F A022529 G.f.: -(x^12 +8178*x^11 +1479726*x^10 +45533450*x^9 +423281535*x^8 +1505621508*x^7 +2275172004*x^6 +1505621508*x^5 +423281535*x^4 +45533450*x^3 +1479726*x^2 +8178*x +1) / (x-1)^13. - _Colin Barker_, Sep 25 2014
%F A022529 G.f.: polylog(-13, x)*(1-x)/x. See the g.f. of the rows of A008292 by _Vladeta Jovovic_, Sep 02 2002. - _Wolfdieter Lang_, May 10 2021
%t A022529 q=13;lst={};Do[AppendTo[lst,(n+1)^q-n^q],{n,0,4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2009 *)
%t A022529 Table[(n+1)^13-n^13,{n,0,20}] (* _Vincenzo Librandi_, Nov 22 2011 *)
%o A022529 (Magma) [(n+1)^13-n^13: n in [0..20]]; // _Vincenzo Librandi_, Nov 22 2011
%o A022529 (PARI) a(n) = (n+1)^13 - n^13; \\ _Michel Marcus_, Sep 25 2014
%Y A022529 Column k=12 of array A047969.
%Y A022529 Cf. A008292, A022528.
%K A022529 nonn,easy
%O A022529 0,2
%A A022529 _N. J. A. Sloane_