a(n) = k: k is smallest integer > 1 such that sign(d(1)-d(2)) = sign(d(k)-d(k+1)), sign(d(2)-d(3)) = sign(d(k+1)-d(k+2)),...,sign(d(n)-d(n+1)) = sign(d(k+n-1)-d(k+n)), where sign is (-,0,+) and d(m) = the number of positive divisors of m.

A137947

a(n) = k: k is smallest integer > 1 such that sign(d(1)-d(2)) = sign(d(k)-d(k+1)), sign(d(2)-d(3)) = sign(d(k+1)-d(k+2)),...,sign(d(n)-d(n+1)) = sign(d(k+n-1)-d(k+n)), where sign is (-,0,+) and d(m) = the number of positive divisors of m.