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a(n) = (n^2+1)^n.
2

%I #16 Sep 20 2023 13:20:11

%S 1,2,25,1000,83521,11881376,2565726409,781250000000,318644812890625,

%T 167619550409708032,110462212541120451001,89116503268220597577728,

%U 86380562306022715087890625,99045780329059370000000000000,132595005683061140853836321918569

%N a(n) = (n^2+1)^n.

%H Winston de Greef, <a href="/A014050/b014050.txt">Table of n, a(n) for n = 0..215</a>

%F a(n) = Sum_{k=0..n} binomial(n,k)*n^(2*k). - _Vaclav Kotesovec_, Oct 16 2016

%t Table[(n^2+1)^n,{n,0,20}] (* _Harvey P. Dale_, Sep 20 2023 *)

%Y Cf. A136516.

%K nonn

%O 0,2

%A _N. J. A. Sloane_.