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%I #10 Dec 18 2014 08:07:11
%S 1,2,8,73,5345,28569050,816190617902536,
%T 666167124752123519223995231345,
%U 443778638100511299954105018279514127887014869775300070509089
%N a(n+1) = a(n)^2 + n^2, a(1) = 1.
%C Let f(n+1,k) = f(n,k)^2 + k*n*f(n,k) + n^2, f(1, k) = 1:
%C f(n,0)=a(n), f(n,-1)=A143761(n), f(n,+1)=A143762(n),
%C f(n,-2)=A143763(n), f(n,+2)=A143764(n), f(n,-3)=A143765(n),
%C f(n,+3)=A143766(n).
%H <a href="/index/Aa#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 + ...</a> [From _Reinhard Zumkeller_, Sep 11 2008]
%F a(n) ~ c^(2^n), where c = 1.3076706365483739101135324977730044318963776104568586126528165276768888613... . - _Vaclav Kotesovec_, Dec 18 2014
%t RecurrenceTable[{a[1]==1,a[n]==a[n-1]^2+(n-1)^2},a[n],{n,10}] (* _Harvey P. Dale_, May 03 2011 *)
%K nonn
%O 1,2
%A _Reinhard Zumkeller_, Sep 01 2008
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