A022533 Nexus numbers (n+1)^17 - n^17.

1, 131071, 129009091, 17050729021, 745759583941, 16163719991611, 215703854542471, 2019169299698041, 14425381885981321, 83322818300333431, 405447028499293771, 1713164078241143221, 6431804812640900941, 21840930809949857971, 68034778606362163471, 196621779843659466481

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 (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).

Formula

a(n) = A010805(n+1) - A010805(n). - Michel Marcus, Feb 27 2018

Maple

b:=17: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018

Mathematica

Table[(n+1)^17-n^17, {n, 0, 20}] (* Vincenzo Librandi, Nov 22 2011 *)
Differences[Range[0, 20]^17] (* Harvey P. Dale, May 21 2019 *)

Prog

(Magma) [(n+1)^17-n^17: n in [0..20]]; // Vincenzo Librandi, Nov 22 2011
(PARI) for(n=0, 20, print1((n+1)^17 - n^17, ", ")) \\ G. C. Greubel, Feb 27 2018

Crossrefs

Column k=16 of A047969.

Cf. A010805 (n^17).

Sequence in context: A161213 A075967 A075968 * A161215 A069392 A289479

Adjacent sequences: A022530 A022531 A022532 * A022534 A022535 A022536

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved