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A144830
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Numerators of the convergents to x = 1/(x^4+1).
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0
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OFFSET
| 0,3
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COMMENTS
| 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.
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PROG
| (PARI) x=0; for(j=1, 7, x=1/(x^4+1); print1((numerator(x))", "))
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CROSSREFS
| Sequence in context: A078186 A087926 A193135 * A051675 A175988 A013804
Adjacent sequences: A144827 A144828 A144829 * A144831 A144832 A144833
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KEYWORD
| frac,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)hotmail.com), Sep 21 2008
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