A022535 Nexus numbers (n+1)^19 - n^19.

1, 524287, 1161737179, 273715645477, 18798608421181, 590286253682371, 10789535445362647, 132716292890482729, 1206736529597136217, 8649148282327007911, 51159090448414546291, 258320908922208380557, 1142440291004823183829, 4514383668573468286507, 16192074241582091462191

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 (19, -171, 969, -3876, 11628, -27132, 50388, -75582, 92378, -92378, 75582, -50388, 27132, -11628, 3876, -969, 171, -19, 1).

Formula

a(n) = A010807(n+1) - A010807(n). - Michel Marcus, Feb 28 2018

Maple

b:=19: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018

Mathematica

Table[(n+1)^19-n^19, {n, 0, 20}] (* Vincenzo Librandi, Nov 22 2011 *)
Differences[Range[0, 20]^19] (* Harvey P. Dale, Mar 29 2026 *)

Prog

(Magma) [(n+1)^19-n^19: n in [0..20]]; // Vincenzo Librandi, Nov 22 2011
(PARI) for(n=0, 20, print1((n+1)^19 - n^19, ", ")) \\ G. C. Greubel, Feb 27 2018

Crossrefs

Column k=18 of A047969.

Cf. A010807 (n^19).

Sequence in context: A075973 A075974 A011569 * A069394 A289480 A222530

Adjacent sequences: A022532 A022533 A022534 * A022536 A022537 A022538

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved