a(n+1) is the least k such that 1/(a(n)+1) + 1/(a(n)+2) + ... + 1/k > 1, with a(1) = 1.

Terms

a(0) =1a(1) =4a(2) =12a(3) =34a(4) =94a(5) =257a(6) =700a(7) =1904a(8) =5177a(9) =14074a(10) =38258a(11) =103997a(12) =282695a(13) =768446a(14) =2088854a(15) =5678095a(16) =15434664a(17) =41955768a(18) =114047603a(19) =310013528a(20) =842704141a(21) =2290707355a(22) =6226788179a(23) =16926165158a(24) =46010087176a(25) =125068383898a(26) =339971115266a(27) =924137304830