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A022540
Nexus numbers (n+1)^24 - n^24.
2
1, 16777215, 282412759265, 281192547174175, 59323169798679969, 4678776693546226271, 186842850042244797505, 4530785251489078799295, 75044076594002864649665, 920233556923127490136639, 8849732675807611094711841, 69647114527583233038729695, 463303923170979668638153825
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) = A010812(n+1) - A010812(n). - Michel Marcus, Feb 27 2018
MAPLE
b:=24: 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, 10]^24, 2, 1] (* Harvey P. Dale, Apr 19 2014 *)
Table[(n+1)^24 - n^24, {n, 0, 20}] (* G. C. Greubel, Feb 27 2018 *)
Differences[Range[0, 20]^24] (* Harvey P. Dale, Jan 07 2026 *)
PROG
(PARI) for(n=0, 20, print1((n+1)^24 - n^24, ", ")) \\ G. C. Greubel, Feb 27 2018
(Magma) [(n+1)^24 - n^24: n in [0..20]]; // G. C. Greubel, Feb 27 2018
CROSSREFS
Column k=23 of A047969.
Cf. A010812 (n^24).
Sequence in context: A034598 A326706 A011574 * A223604 A223697 A057070
KEYWORD
nonn,easy
STATUS
approved