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

0,2

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

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

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

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 *)

Prog

(Magma) [(n+1)^9-n^9: n in [0..30]]; // Vincenzo Librandi, Nov 22 2011
(PARI) a(n)=(n+1)^9-n^9 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Column m=8 of A047969.

Cf. A008292, A022524, A022526.

Sequence in context: A181128 A228265 A228224 * A069094 A024007 A258810

Adjacent sequences: A022522 A022523 A022524 * A022526 A022527 A022528

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 21 2012

Status

approved