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A022537
Nexus numbers (n+1)^21 - n^21.
2
1, 2097151, 10458256051, 4387586157901, 472439111692021, 21460113482174731, 536608913442906151, 8664826172771491801, 100195617094657583401, 890581010868487640791, 6400249944258160101211, 38604869965111541364901, 201059409164080691238301, 924291046880536829143651
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.
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 A386526 A068345
KEYWORD
nonn,easy
EXTENSIONS
More terms added by G. C. Greubel, Feb 27 2018
STATUS
approved