A022538 - OEIS

%I #22 Sep 08 2022 08:44:46

%S 1,4194303,31376865305,17560804984807,2366593604971209,

%T 129237518051251511,3778199344740720913,69877155246255218415,

%U 910983925888773026417,9015229097816388767119,71402749386839761113321,470658689525596656480023,2659777439042418687564025

%N Nexus numbers (n+1)^22 - n^22.

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

%H G. C. Greubel, <a href="/A022538/b022538.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A010810(n+1) - A010810(n). - _Michel Marcus_, Feb 27 2018

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

%t Table[(n+1)^22 - n^22, {n,0,20}] (* _G. C. Greubel_, Feb 27 2018 *)

%o (PARI) for(n=0,20, print1((n+1)^22 - n^22, ", ")) \\ _G. C. Greubel_, Feb 27 2018

%o (Magma) [(n+1)^22 - n^22: n in [0..20]]; // _G. C. Greubel_, Feb 27 2018

%Y Column k=21 of A047969.

%Y Cf. A010810.

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E Terms a(12) onward added by _G. C. Greubel_, Feb 27 2018