A153062 a(0)=1, a(n)=a(n-1)^2-n^2.

1, 0, -4, 7, 33, 1064, 1132060, 1281559843551, 1642395632602463596289537, 2697463413991646582332856337058890220473935674288, 7276308869823469318922107258255539214217660183827400648026742290333726278585952350082821224306844

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, Dec 17 2008

Keywords

• sign

Links

• Indranil Ghosh, Table of n, a(n) for n = 0..13
• Index entries for sequences of form a(n+1)=a(n)^2 + ...

Crossrefs

Cf. A153058, A153059, A086851, A153060, A098152, A028300, A153061

Programs

Mathematica

a=1;lst={};Do[a=a^2-n^2;AppendTo[lst,a],{n,0,12}];lst
RecurrenceTable[{a[0]==1, a[n]==a[n-1]^2-n^2}, a, {n, 0, 10}] (* Vaclav Kotesovec, Dec 18 2014 *)

Formula

a(n) ~ c^(2^n), where c = 1.24334516566159378905145559484975509773481252881469517052010008004602693351819... . - Vaclav Kotesovec, Dec 18 2014