Largest number of maximum matchings in a tree of n vertices.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =5a(7) =8a(8) =11a(9) =15a(10) =21a(11) =30a(12) =41a(13) =56a(14) =81a(15) =112a(16) =153a(17) =216a(18) =303a(19) =418a(20) =571a(21) =819a(22) =1133a(23) =1560a(24) =2187a(25) =3063a(26) =4235a(27) =5832a(28) =8280a(29) =11455