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a(0)=4, a(n)=a(n-1)^2 - n for n > 0.
6

%I #17 Mar 06 2023 20:32:01

%S 4,15,223,49726,2472675072,6114122011690205179,

%T 37382487973834681475536573127118422035,

%U 1397450407113894589170760370457882734663916414838438245542265330668373541218

%N a(0)=4, a(n)=a(n-1)^2 - n for n > 0.

%H <a href="/index/Aa#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 + ...</a>

%F a(n) ~ c^(2^n), where c = 3.8643187364012066048723545708047003493006832597186603613771125549936188672... . - _Vaclav Kotesovec_, Dec 18 2014

%t RecurrenceTable[{a[0]==4, a[n]==a[n-1]^2-n}, a, {n, 0, 10}] (* _Vaclav Kotesovec_, Dec 18 2014 *)

%Y Cf. A153059.

%K nonn

%O 0,1

%A _Vladimir Joseph Stephan Orlovsky_, Dec 17 2008

%E Definition amended by _Georg Fischer_, Jul 15 2022