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Search: id:A126580
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| A126580 |
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a(n) = denominator of r_n, where r_0 =0, r_1 =1, r_{n+1} = the continued fraction (of rational terms) [r_0,r_1,r_2,r_3,...,r_n]. |
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+0
2
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| 1, 1, 1, 2, 4, 28, 924, 1301916, 2192719475100, 6877436791939871875340700, 63662093585928604457207470763864412072759112460700, 5654964592175973912056572385731364781410655247698710272187424640218106099883341821471858427090700700
(list; graph; listen)
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OFFSET
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0,4
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EXAMPLE
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a(5) is the denominator of r_5 = r_0 +1/(r_1 +1/(r_2
+1/(r_3 + 1/r_4))) =
0 + 1/(1 +1/(1 +1/(1/2 +1/(3/4)))) = 17/28.
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MATHEMATICA
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f[l_List] := Append[l, FromContinuedFraction[l]]; Denominator@Nest[f, {0, 1}, 10] (*Chandler*)
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CROSSREFS
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Cf. A064845, A064846, A126579.
Sequence in context: A095858 A062792 A102692 this_sequence A124687 A018291 A033167
Adjacent sequences: A126577 A126578 A126579 this_sequence A126581 A126582 A126583
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Dec 28 2006
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 29 2006
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