a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.

Terms

a(0) =1a(1) =5a(2) =15a(3) =41a(4) =107a(5) =276a(6) =708a(7) =1811a(8) =4629a(9) =11827a(10) =30214a(11) =77182a(12) =197159a(13) =503632a(14) =1286495a(15) =3286264a(16) =8394533a(17) =21443246a(18) =54775263a(19) =139919550a(20) =357414628a(21) =912990471a(22) =2332169791a(23) =5957363305a(24) =15217664544a(25) =38872451165a(26) =99296935817