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A022525 Nexus numbers (n+1)^9-n^9.

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%I A022525 #27 Sep 08 2022 08:44:46
%S A022525 1,511,19171,242461,1690981,8124571,30275911,93864121,253202761,
%T A022525 612579511,1357947691,2801832661,5444719021,10056547411,17782312591,
%U A022525 30276117361,49868399761,79771413871,124328407411,189312302221,282280046581,412989171211,593883443671
%N A022525 Nexus numbers (n+1)^9-n^9.
%D A022525 J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
%H A022525 Vincenzo Librandi, <a href="/A022525/b022525.txt">Table of n, a(n) for n = 0..10000</a>
%H A022525 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A022525 G.f.: -(x^8 +502*x^7 +14608*x^6 +88234*x^5 +156190*x^4 +88234*x^3 +14608*x^2 +502*x +1) / (x -1)^9. - _Colin Barker_, Dec 21 2012
%F A022525 G.f.: polylog(-9, 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 A022525 q=9;lst={};Do[AppendTo[lst,(n+1)^q-n^q],{n,0,2*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2009 *)
%t A022525 Table[(n+1)^9-n^9,{n,0,20}] (* _Vincenzo Librandi_, Nov 22 2011 *)
%o A022525 (Magma) [(n+1)^9-n^9: n in [0..30]]; // _Vincenzo Librandi_, Nov 22 2011
%o A022525 (PARI) a(n)=(n+1)^9-n^9 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A022525 Column m=8 of A047969.
%Y A022525 Cf. A008292, A022524, A022526.
%K A022525 nonn,easy
%O A022525 0,2
%A A022525 _N. J. A. Sloane_
%E A022525 More terms from _Colin Barker_, Dec 21 2012