A281527 Triangle read by rows: T(n,k) = minimal number of terms needed to write k/n as a signed sum of distinct unit fractions, 1 <= k < n.

1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2

Offset

2,3

Links

Table of n, a(n) for n=2..106.

Index entries for sequences related to Egyptian fractions

Example

The triangle T(n,k) begins:
2:                     1
3:                   1   2
4:                 1   1   2
5:               1   2   2   2
6:             1   1   1   2   2
7:           1   2   2   2   3   2
8:         1   1   2   1   2   2   2
9:       1   2   1   2   2   2   3   2

Crossrefs

Cf. A281530.

Sequence in context: A143421 A137672 A141272 * A124038 A029311 A217869

Adjacent sequences: A281524 A281525 A281526 * A281528 A281529 A281530

Keyword

nonn,tabl

Author

Arkadiusz Wesolowski, Jan 23 2017

Status

approved