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Search: id:A126579
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| A126579 |
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a(n) = numerator 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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| 0, 1, 1, 1, 3, 17, 625, 830449, 1441502031601, 4448641235388669217551601, 41528676925856911327331422342109607917578376233201, 36723886063764000296164010542024364020441270559732596838657215597971829988577050\ 11207512381679196401
(list; graph; listen)
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OFFSET
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0,5
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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a(5) is the numerator 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]]; Numerator@Nest[f, {0, 1}, 10] (*Chandler*)
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CROSSREFS
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Cf. A064845, A064846, A126580.
Sequence in context: A001601 A061119 A049985 this_sequence A051710 A162713 A161473
Adjacent sequences: A126576 A126577 A126578 this_sequence A126580 A126581 A126582
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Leroy Quet 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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