a(n) is conjectured to be the largest power k for which k divides the sum of digits of n^k.

Terms

a(0) =1a(1) =70a(2) =486a(3) =35a(4) =10a(5) =90a(6) =805a(7) =5218a(8) =243a(9) =1a(10) =35a(11) =1494a(12) =469004a(13) =1045a(14) =288a(15) =116a(16) =7a(17) =195a(18) =29a(19) =70a(20) =16710a(21) =23a(22) =2a(23) =1017a(24) =28a(25) =58a(26) =162a(27) =166a(28) =209a(29) =486