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Search: id:A128299
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A128299 a(n) = numerator of b(n): b(1)=1; b(n+1) = [b(1);b(2),...,b(n),1], where [...] is a continued fraction of rational terms. +0
2
1, 2, 4, 24, 768, 818688, 918482792448, 1160710851973467480711168, 1851362556448808267346772937519541852218467221504, 18847343776707279367350856395288405228920211137901512390703618374388691425540089\ 2747408659578880 (list; graph; listen)
OFFSET

1,2

LINKS

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

EXAMPLE

a(5) = the numerator of b(5). b(5) = 1 +1/(2 +1/(4/3 +1/(24/17 +1))) = 768/553.

MATHEMATICA

a = {1}; Do[AppendTo[a, FromContinuedFraction[Join[a, {1}]]], {10}]; Numerator[a] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 24 2007

CROSSREFS

Cf. A128300.

Sequence in context: A030276 A081476 A009273 this_sequence A143672 A001510 A103099

Adjacent sequences: A128296 A128297 A128298 this_sequence A128300 A128301 A128302

KEYWORD

frac,nonn

AUTHOR

Leroy Quet Feb 25 2007

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 24 2007

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


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