A022537 - OEIS

A022537

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

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

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OFFSET

0,2

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

FORMULA

a(n) = A010809(n+1) - A010809(n). - Michel Marcus, 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 *)

PROG

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

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

CROSSREFS

Column k=20 of A047969.

Cf. A010809 (n^21).

Sequence in context: A115505 A126435 A011571 * A195236 A068345 A194935

Adjacent sequences: A022534 A022535 A022536 * A022538 A022539 A022540

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved