A018109 Powers of fourth root of 22 rounded to nearest integer.

1, 2, 5, 10, 22, 48, 103, 223, 484, 1048, 2270, 4917, 10648, 23061, 49944, 108165, 234256, 507337, 1098758, 2379621, 5153632, 11161410, 24172677, 52351655, 113379904, 245551027, 531798889, 1151736408