The sequence 13, 31, 46, 63, 81, 97, 112, 130, 148, 162, ...,$13, 31, 46, 63, 81, 97, 112, 130, 148, 162, 180, \dots,$ (soonsequence A348300 in the oeisOEIS) shows the largest digital sum the square of an n$n$-digit (decimal) number has.
Is this sequence strictly increasing?