Tree Planting Problems

How many rows of t trees can you make by planting n trees? Here are the best known bounds for small values of t and n . Click on the links for pictures.

Maximum Number of Rows of n with t trees

n \ t	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
3	1	1	2	4	6	7	10	12	16	19	22-24	26-27	31-32	37	40-42	46-48	52-54	57-60
4	0	1	1	1	2	2	3	5	6	7	9-13	10-14	12-15	15-20	15-21	18-22	19-28	21-30
5	0	0	1	1	1	1	2	2	2	3	3	4	6-9	6-9	7-13	9-14	10-15	11-16
6	0	0	0	1	1	1	1	1	2	2	2	2	3	3	3	4	4	5

More information can be found at Math World.

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