A132294 The first three terms are 1. After that, a(n)=(a(n-1))^2-a(n-2)-a(n-3).

1, 1, 1, -1, -1, 1, 3, 9, 77, 5917, 35010803, 1225756326698815, 1502478572442172090395687387505, 2257441860647867366107450759398738024116019978304775668415407

Offset

1,7

Links

Table of n, a(n) for n=1..14.

Example

a(9)=9^2-3-1=77.

Mathematica

a[n_]:=a[n]=a[n-1]^2-a[n-2]-a[n-3]; a[1]=a[2]=a[3]=1
Transpose[NestList[Flatten[{Rest[#], Last[#]^2-Total[Most[#]]}]&, {1, 1, 1}, 15]][[1]] (* Harvey P. Dale, Apr 28 2012 *)

Crossrefs

Sequence in context: A027290 A131496 A367429 * A032330 A018604 A301535

Adjacent sequences: A132291 A132292 A132293 * A132295 A132296 A132297

Keyword

sign

Author

Ben Branman, Nov 06 2007, Nov 07 2007

Status

approved