a(n) is the smallest positive k such that (k+n)^k < (k+1)^(k+1).

Terms

a(0) =1a(1) =1a(2) =2a(3) =11a(4) =41a(5) =130a(6) =378a(7) =1064a(8) =2940a(9) =8053a(10) =21966a(11) =59802a(12) =162670a(13) =442315a(14) =1202492a(15) =3268889a(16) =8885966a(17) =24154791a(18) =65659789a(19) =178482101a(20) =485164975a(21) =1318815492a(22) =3584912582a(23) =9744803158a(24) =26489121817a(25) =72004898999a(26) =195729609064a(27) =532048240210