sequence (x+1)^x + x^x

cino hilliard hillcino368 at hotmail.com
Sat Aug 23 21:30:25 CEST 2003


Hi Seq Fans,

a(n) =  (x+1)^x + x^x x=1, x=2,4,6,n for  n even

I submitted this sequence having computed only 3 terms(contrary to the 
rules)  thinking for sure it has
more terms than 3,13,881.

The search can be limited to even values of x since

a^n + b^n = (a+b)(a^n-1 - a^n-2b + ....+b^n-1) for odd n

f(n)=
     {
     print1(3" ");
     forstep(x=2,n,2,
       y=(x+1)^x+x^x;
        if(isprime(y),print1(y" "))
            )
     }

Maybe someone can further limit the search or find more terms?

Cheers and Roebuck,
Cino
"Observation lends to analysis. Analysis lends to Law."

_________________________________________________________________
Get MSN 8 and enjoy automatic e-mail virus protection.   
http://join.msn.com/?page=features/virus






More information about the SeqFan mailing list