Number of connected functions on n points with a loop of length 5.

Terms

a(0) =1a(1) =1a(2) =4a(3) =14a(4) =46a(5) =145a(6) =440a(7) =1315a(8) =3877a(9) =11315a(10) =32792a(11) =94529a(12) =271510a(13) =777764a(14) =2223865a(15) =6350657a(16) =18120730a(17) =51680249a(18) =147359335a(19) =420163711a(20) =1198151432a(21) =3417475326a(22) =9750708533a(23) =27831153091a(24) =79471338455a(25) =227032777454a(26) =648896436944