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.

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

Offset: 1

Author

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

Keywords

• nonn
• tabf

Examples

			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
		

References

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

Links

• Index entries for sequences related to Egyptian fractions

Crossrefs

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

Extensions

One term corrected by David Wasserman, Feb 17 2009