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

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

Offset

0,3

Links

Indranil Ghosh, Table of n, a(n) for n = 0..13

Index entries for sequences of form a(n+1)=a(n)^2 + ...

Formula

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

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 *)

Crossrefs

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

Sequence in context: A149089 A004031 A243863 * A237424 A143547 A149090

Adjacent sequences: A153059 A153060 A153061 * A153063 A153064 A153065

Keyword

sign

Author

Vladimir Joseph Stephan Orlovsky, Dec 17 2008

Status

approved