login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A111804 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of maximal denominator. 3

%I #7 Mar 31 2012 20:17:55

%S 1,2,3,6,4,4,5,15,10,10,6,3,7,21,21,14,14,21,8,8,8,8,9,18,9,18,9,18,

%T 10,10,5,15,11,44,44,33,33,22,22,44,44,33,12,6,4,6,13,65,39,39,52,52,

%U 26,26,39,39,52,65,14,14,21,7,21,21,15,20,10,10,5,15,6,10,16,16,16,16,16,16

%N Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of maximal denominator.

%D Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>

%e Triangle begins:

%e 1

%e 2

%e 3 6

%e 4 4

%e 5 15 10 10

%e 6 3

%e 7 21 21 14 14 21

%e 8 8 8 8

%e 9 18 9 18 9 18

%e 10 10 5 15

%e 11 44 44 33 33 22 22 44 44 33

%e 12 6 4 6

%e 13 65 39 39 65 52 26 26 39 39 52 65

%Y Cf. A097847, A097848, A097849, A111807, A111809, A111860.

%K nonn,tabf

%O 1,2

%A _N. J. A. Sloane_, based on communications from _Franklin T. Adams-Watters_, Nov 22 2005

%E One term corrected by _David Wasserman_, Feb 17 2009

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)