The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
a(1)=2, a(n) is a k(n)-almost prime; m is an A-almost prime (for 1 < A); a(n) = smallest number m>a(n-1) such that m-a(i) is a (A-k(i))-almost prime for i = 1,..,n-1.