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
Keywords
Examples
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).
Formula
a(n+1) = a(n)^2 - A143849(n)^2.
Extensions
Definition clarified by N. J. A. Sloane, Jul 11 2024 at the suggestion of Harvey P. Dale.