A022525 Nexus numbers (n+1)^9-n^9.
1, 511, 19171, 242461, 1690981, 8124571, 30275911, 93864121, 253202761, 612579511, 1357947691, 2801832661, 5444719021, 10056547411, 17782312591, 30276117361, 49868399761, 79771413871, 124328407411, 189312302221, 282280046581, 412989171211, 593883443671
Offset: 0
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 (9,-36,84,-126,126,-84,36,-9,1).
Programs
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Magma
[(n+1)^9-n^9: n in [0..30]]; // Vincenzo Librandi, Nov 22 2011
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Mathematica
q=9;lst={};Do[AppendTo[lst,(n+1)^q-n^q],{n,0,2*4!}];lst (* Vladimir Joseph Stephan Orlovsky, Jan 23 2009 *) Table[(n+1)^9-n^9,{n,0,20}] (* Vincenzo Librandi, Nov 22 2011 *) -
PARI
a(n)=(n+1)^9-n^9 \\ Charles R Greathouse IV, Oct 07 2015
Formula
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
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
Extensions
More terms from Colin Barker, Dec 21 2012