A022534 Nexus numbers (n+1)^18 - n^18.

1, 262143, 387158345, 68332056247, 3745977788889, 97745259402791, 1526853641242033, 16385984911571535, 132080236787517137, 849905364703000879, 4559917313492231481, 21063415967393012423, 85832073671072149225, 314423447258679349527, 1051013025824763647969, 3244474602834244823071

Offset

0,2

References

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.

Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), page 206.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (18, -153, 816, -3060, 8568, -18564, 31824, -43758, 48620, -43758, 31824, -18564, 8568, -3060, 816, -153, 18, -1).

Formula

a(n) = A010806(n+1) - A010806(n). - Michel Marcus, Feb 27 2018

Maple

b:=18: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018

Mathematica

Table[(n+1)^18-n^18, {n, 0, 20}] (* Vincenzo Librandi, Nov 22 2011 *)

Prog

(Magma) [(n+1)^18-n^18: n in [0..20]]; // Vincenzo Librandi, Nov 22 2011
(PARI) for(n=0, 20, print1((n+1)^18 - n^18, ", ")) \\ G. C. Greubel, Feb 27 2018

Crossrefs

Column k=17 of A047969.

Cf. A010806 (n^18).

Sequence in context: A075975 A075971 A011568 * A069393 A186872 A186881

Adjacent sequences: A022531 A022532 A022533 * A022535 A022536 A022537

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms added by G. C. Greubel, Feb 27 2018

Status

approved