Number of binary strings of length n with equal numbers of 00000 and 00011 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =57a(7) =110a(8) =211a(9) =404a(10) =775a(11) =1490a(12) =2862a(13) =5500a(14) =10580a(15) =20364a(16) =39213a(17) =75554a(18) =145672a(19) =281024a(20) =542460a(21) =1047758a(22) =2024991a(23) =3916068a(24) =7577829a(25) =14672662a(26) =28427692a(27) =55111534a(28) =106908332a(29) =207514372