0,3

These numbers are quartics. The recursion provides a method of solving the

quintic x^5 + x - 1. In general, extending this notion, we can use the

recursion x = 1/(x^(n-1)+1) to find a solution for n-th degree equations of

the form x^n+x-1=0.

(PARI) x=0; for(j=1, 7, x=1/(x^4+1); print1((numerator(x))", "))

Sequence in context: A013758 A078186 A087926 this_sequence A051675 A013804 A116102

Adjacent sequences: A144827 A144828 A144829 this_sequence A144831 A144832 A144833

frac,nonn

Cino Hilliard (hillcino368(AT)hotmail.com), Sep 21 2008