148770domain: NAppears in sequencesa(n) = Sum_{p in P} binomial(H(2,p),2), where P is the set of partitions of n, and H(2,p) = number of hooks of size 2 in p.at n=37A301313a(n) = 972*n^2 - 1224*n + 414 with n > 0.at n=12A304166a(n) is the least number k such that A349497(k) = n, or -1 if no such k exists.at n=21A349498