A143848 Let x(1) = 1 and x(n) = x(n-1)^2 + i for n>1; a(n) is the real part of x(n).

1, 1, 0, -9, 80, 6111, 29951360, -207256402585089, -3919788933040280447085605363200, 14683863149476410414382246646213355893861151824423487368369151

Offset

1,4

Links

Table of n, a(n) for n=1..10.

Formula

a(n+1) = a(n)^2 - A143849(n)^2.

Example

The x(n) sequence starts 1, 1+i, 3*i, -9+i, 80-17*i, 6111-2719*i, ...

Crossrefs

A143849 gives the imaginary part of x(n).

Sequence in context: A192214 A127265 A055070 * A317052 A363420 A352386

Adjacent sequences: A143845 A143846 A143847 * A143849 A143850 A143851

Keyword

sign

Author

Reinhard Zumkeller, Sep 03 2008

Extensions

Definition clarified by N. J. A. Sloane, Jul 11 2024 at the suggestion of Harvey P. Dale.

Status

approved