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a(0) = 0, a(n) = a(n-1)^2 - n.
9

%I #19 Feb 08 2017 02:10:00

%S 0,-1,-1,-2,0,-5,19,354,125308,15702094855,246555782835417471015,

%T 60789754049585540423053668337098365130214,

%U 3695394197409101611007702673065886746062029284385286815035968423367078017175685784

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

%H Indranil Ghosh, <a href="/A153059/b153059.txt">Table of n, a(n) for n = 0..15</a>

%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 = 1.0469211647756727790926917384863725994592251990011465128982697545064576849... . - _Vaclav Kotesovec_, Dec 18 2014

%t a=0;lst={};Do[a=a^2-n;AppendTo[lst,a],{n,0,14}];lst

%t RecurrenceTable[{a[0]==0,a[n]==a[n-1]^2-n},a,{n,12}] (* _Harvey P. Dale_, Aug 05 2013 *)

%K sign,easy

%O 0,4

%A _Vladimir Joseph Stephan Orlovsky_, Dec 17 2008