Number of n-node trees with a forbidden limb of length 6.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =6a(7) =10a(8) =22a(9) =45a(10) =102a(11) =226a(12) =531a(13) =1253a(14) =3044a(15) =7456a(16) =18604a(17) =46798a(18) =119133a(19) =305567a(20) =790375a(21) =2057523a(22) =5390759a(23) =14200122a(24) =37598572a(25) =100005401a(26) =267131927a(27) =716318650a(28) =1927758155a(29) =5205240762