A022538 Nexus numbers (n+1)^22 - n^22.

1, 4194303, 31376865305, 17560804984807, 2366593604971209, 129237518051251511, 3778199344740720913, 69877155246255218415, 910983925888773026417, 9015229097816388767119, 71402749386839761113321, 470658689525596656480023, 2659777439042418687564025

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

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

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Column k=21 of A047969.

Cf. A010810.

Programs

Magma

[(n+1)^22 - n^22: n in [0..20]]; // G. C. Greubel, Feb 27 2018

Maple

b:=22: a:=n->(n+1)^b-n^b: seq(a(n),n=0..18); # Muniru A Asiru, Feb 28 2018

Mathematica

Table[(n+1)^22 - n^22, {n,0,20}] (* G. C. Greubel, Feb 27 2018 *)

PARI

for(n=0,20, print1((n+1)^22 - n^22, ", ")) \\ G. C. Greubel, Feb 27 2018

Formula

a(n) = A010810(n+1) - A010810(n). - Michel Marcus, Feb 27 2018

Extensions

Terms a(12) onward added by G. C. Greubel, Feb 27 2018