A153059 a(0) = 0, a(n) = a(n-1)^2 - n.

0, -1, -1, -2, 0, -5, 19, 354, 125308, 15702094855, 246555782835417471015, 60789754049585540423053668337098365130214, 3695394197409101611007702673065886746062029284385286815035968423367078017175685784

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, Dec 17 2008

Keywords

• sign
• easy

Links

• Indranil Ghosh, Table of n, a(n) for n = 0..15
• Index entries for sequences of form a(n+1)=a(n)^2 + ...

Programs

Mathematica

a=0;lst={};Do[a=a^2-n;AppendTo[lst,a],{n,0,14}];lst
RecurrenceTable[{a[0]==0,a[n]==a[n-1]^2-n},a,{n,12}] (* Harvey P. Dale, Aug 05 2013 *)

Formula

a(n) ~ c^(2^n), where c = 1.0469211647756727790926917384863725994592251990011465128982697545064576849... . - Vaclav Kotesovec, Dec 18 2014