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A105215 Minimum numerator among the n! ratios equal to the continued fractions which have the permutations of (1,2,3,...,n) for terms. +0
1
1, 3, 9, 37, 183, 1089, 7507, 59261, 525432, 5185027, 56276118, 667218665, 8572665529, 118743064065, 1763010417987, 27944432899993, 470820846422697, 8404897200626691, 158440099278231667, 3145660094900520781 (list; graph; listen)
OFFSET

1,2

COMMENT

Calculated by Vladeta Jovovic and David W. Wilson.

LINKS

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

MAPLE

r:= proc(l) local j; infinity; for j to nops(l) do l[j] +1/% od end: gl:= proc(n) local u, o, l, r; u:= 1; o:= n; l:=NULL; r:=NULL; do if u>o then break fi; l:= l, u; u:= u+1; if u>o then break fi; r:= u, r; u:= u+1; if u>o then break fi; l:= l, o; o:= o-1; if u>o then break fi; r:= o, r; o:= o-1 od; [l, r] end: a:= n-> numer (r (gl (n))): seq (a(n), n=1..25); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 18 2009]

CROSSREFS

Cf. A105151.

Sequence in context: A077365 A006229 A008986 this_sequence A158053 A009179 A030819

Adjacent sequences: A105212 A105213 A105214 this_sequence A105216 A105217 A105218

KEYWORD

nonn,new

AUTHOR

Leroy Quet Apr 12 2005

EXTENSIONS

More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 18 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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