[seqfan] Re: Formula Needed for a Family of Continued Fractions

[Heinz, Alois]

Dear Paul and dear SeqFans,

CASES m>0 and m even seem to be more complicated.

CASES m odd are simpler.

Here is CASE m=7:

gf = -(-2*x^8-2*x^9-1+x^4+x^5-2*x^11+x^17+x^18
         +x^14+2*x^15+x^2-2*x^10+x^16+x^3)/
((x-1)*(x^6+x^5+x^4+x^3+x^2+x+1)*
(x^15+x^14+x^13+2*x^12-x^9-2*x^8-2*x^7-x^6+x^3+x^2+x-1))

1, 1, 1, 2, 3, 5, 9, 15, 26, 44, 76, 131, 225, 389, 670, ...

With regards, Alois