A091834 Triangle read by rows: T(n,k) = maximum denominator in the Egyptian fraction representation that minimizes the maximum denominator of the k-th entry of row n of the triangle of numbers 1/2; 1/3, 2/3; 1/4, 2/4, 3/4; ...

2, 3, 6, 4, 2, 4, 5, 15, 10, 10, 6, 3, 2, 6, 3, 7, 21, 21, 14, 14, 21, 8, 4, 8, 2, 8, 4, 8, 9, 18, 3, 9, 18, 6, 9, 18, 10, 5, 10, 15, 2, 10, 5, 10, 15, 11, 44, 44, 33, 33, 22, 22, 44, 44, 33

Offset

0,1

Links

Table of n, a(n) for n=0..54.

Example

The 47th position, corresponding to the fraction 2/11, has value 44 because 2/11=1/12+1/22+1/33+1/44 and there is no way of writing 2/11 as a sum of distinct unit fractions with all denominators less than 44.

Crossrefs

Cf. A050210.

Sequence in context: A191658 A021427 A352478 * A050210 A003573 A111804

Adjacent sequences: A091831 A091832 A091833 * A091835 A091836 A091837

Keyword

nonn,tabl

Author

David Eppstein, Mar 09 2004

Status

approved