a(n) = largest m such that the harmonic number H(m)= Sum_{i=1..m} 1/i is < n.

A115515

a(n) = largest m such that the harmonic number H(m)= Sum_{i=1..m} 1/i is < n.

Terms

    a(0) =0a(1) =3a(2) =10a(3) =30a(4) =82a(5) =226a(6) =615a(7) =1673a(8) =4549a(9) =12366a(10) =33616a(11) =91379a(12) =248396a(13) =675213a(14) =1835420a(15) =4989190a(16) =13562026a(17) =36865411a(18) =100210580a(19) =272400599a(20) =740461600a(21) =2012783314a(22) =5471312309a(23) =14872568830a(24) =40427833595a(25) =109894245428

External references