

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



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

1,2


REFERENCES

Franklin T. AdamsWatters, Posting to Seq Fan mailing list, Aug 21 2004


LINKS

Table of n, a(n) for n=1..78.
Index entries for sequences related to Egyptian fractions


EXAMPLE

Triangle begins:
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
10 10 5 15
11 44 44 33 33 22 22 44 44 33
12 6 4 6
13 65 39 39 65 52 26 26 39 39 52 65


CROSSREFS

Cf. A097847, A097848, A097849, A111807, A111809, A111860.
Sequence in context: A091834 A050210 A003573 * A246835 A213625 A132368
Adjacent sequences: A111801 A111802 A111803 * A111805 A111806 A111807


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, based on communications from Franklin T. AdamsWatters, Nov 22 2005


EXTENSIONS

One term corrected by David Wasserman, Feb 17 2009


STATUS

approved



