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A064846 Let r_1 = 1; r_{n+1} = [r_1; r_2, r_3,..., r_n]; n-th term is denominator of r_n. +0
5
1, 1, 1, 3, 18, 720, 1119600, 2726809311600, 16145931379144511904735600, 566327308576692897981544319968226968281922500063600 (list; graph; listen)
OFFSET

1,4

COMMENT

[r_1; r_2, r_3,..., r_n] is a continued fraction, where the r's are rationals. limit{n -> infinity} r_n = 1.7118691868...

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

MATHEMATICA

r[1] := 1; r[n_] := r[n] = FromContinuedFraction[Table[r[i], {i, 1, n - 1, 1}]]; a[n_] := Denominator[r[n]]

CROSSREFS

Cf. A053978, A064845.

Sequence in context: A132514 A070953 A163261 this_sequence A157544 A000853 A065402

Adjacent sequences: A064843 A064844 A064845 this_sequence A064847 A064848 A064849

KEYWORD

easy,frac,nonn

AUTHOR

Leroy Quet Oct 31 2001; definition corrected May 04 2008

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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