

A070266


Maximum element in the simple continued fraction expansion of H(n)=1+1/2+1/3+...+1/n the nth harmonic number.


0



1, 2, 5, 12, 8, 4, 5, 7, 7, 13, 50, 15, 6, 39, 43, 9, 14, 61, 25, 17, 36, 13, 5, 17, 18, 20, 68, 45, 25, 198, 88, 1090, 120, 244, 29, 29, 24, 111, 567, 22, 20, 37, 1812, 59, 41, 336, 121, 32, 37, 314, 104, 162, 289, 146, 1557, 42, 78, 639, 52, 812, 116, 32, 131, 236, 59
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..65.


EXAMPLE

The simple continued fraction expansion of H(10) is [2, 1, 13, 12, 1, 3, 1, 2], hence a(10)=13


MATHEMATICA

Table[ Max[ ContinuedFraction[ HarmonicNumber[n]]], {n, 1, 65}]


CROSSREFS

Sequence in context: A279347 A151574 A110020 * A125199 A103832 A191368
Adjacent sequences: A070263 A070264 A070265 * A070267 A070268 A070269


KEYWORD

easy,nonn


AUTHOR

Benoit Cloitre, May 09 2002


STATUS

approved



