Power ceiling-floor sequence of 3+sqrt(8).

Terms

a(0) =6a(1) =34a(2) =199a(3) =1159a(4) =6756a(5) =39376a(6) =229501a(7) =1337629a(8) =7796274a(9) =45440014a(10) =264843811a(11) =1543622851a(12) =8996893296a(13) =52437736924a(14) =305629528249