Number of n-node rooted trees with a forbidden limb of length 7.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =48a(7) =114a(8) =284a(9) =714a(10) =1829a(11) =4731a(12) =12391a(13) =32711a(14) =87084a(15) =233349a(16) =629137a(17) =1705039a(18) =4642999a(19) =12696374a(20) =34851662a(21) =95997401a(22) =265253845a(23) =735035099a(24) =2042203194a(25) =5687771773a(26) =15876641362a(27) =44409566681a(28) =124460776515a(29) =349437246152