A318241 Column 3 of array in A318240.

0, 1, 1, 3, 3, 4, 4, 4, 4, 6, 6, 6, 7, 7, 7, 9, 9, 9, 10, 10, 10, 12, 12, 12, 13, 13, 13

Offset: 1

Author

Floris P. van Doorn, Aug 25 2018

Keywords

• nonn
• more

Comments

The next value a(28) is either 15 or 16.

a(6k+1) = a(6k+2) = a(6k+3) = 3k+1 for k >= 1. This follows from the solution to Kirkman's schoolgirl problem with n schoolgirls.

The values of a(6k), a(6k-1) and a(6k-2) are either 3k or 3k+1.

Links

• D. K. Ray-Chaudhuri and Richard M. Wilson, Solution of Kirkman's schoolgirl problem, in Proceedings of Symposia in Pure Mathematics, Volume 19, 1971.
• Wikipedia, Kirkman's schoolgirl problem

Crossrefs

Cf. A318240.