A022537 Nexus numbers (n+1)^21 - n^21.

1, 2097151, 10458256051, 4387586157901, 472439111692021, 21460113482174731, 536608913442906151, 8664826172771491801, 100195617094657583401, 890581010868487640791, 6400249944258160101211, 38604869965111541364901, 201059409164080691238301, 924291046880536829143651

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=20 of A047969.

Cf. A010809 (n^21).

Programs

Magma

[(n+1)^21 - n^21: n in [0..20]]; // G. C. Greubel, Feb 27 2018

Maple

b:=21: a:=n->(n+1)^b-n^b: seq(a(n),n=0..18); # Muniru A Asiru, Feb 28 2018

Mathematica

Last[#]-First[#]&/@Partition[Range[0,20]^21,2,1] (* Harvey P. Dale, Dec 06 2013 *)

PARI

for(n=0,20, print1((n+1)^21 - n^21, ", ")) \\ G. C. Greubel, Feb 27 2018

Formula

a(n) = A010809(n+1) - A010809(n). - Michel Marcus, Feb 27 2018

Extensions

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