Row sums of A370942: a(n) is the total number of nonempty, longest nonoverlapping properly nested substrings among all strings of parentheses of length n.

A370943

Row sums of A370942: a(n) is the total number of nonempty, longest nonoverlapping properly nested substrings among all strings of parentheses of length n.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =4a(4) =11a(5) =28a(6) =66a(7) =152a(8) =339a(9) =748a(10) =1622a(11) =3496a(12) =7454a(13) =15832a(14) =33380a(15) =70192a(16) =146819a(17) =306508a(18) =637326a(19) =1323272a(20) =2738922a(21) =5662600a(22) =11677916a(23) =24061264

External references