1: 0.628318530718
    4: 0.683375737327
    5: 0.696617931805
    6: 0.702039631506
    8: 0.722614942079
    9: 0.736245768767
   11: 0.768107615365
   16: 0.775964075149
   20: 0.785398163397
   25: 0.793791945716
   32: 0.804685593173
   36: 0.805972010538
   49: 0.814943562241
   53: 0.817438948277
   64: 0.821823172710
   65: 0.827274637047
   69: 0.836306334348
   85: 0.836629842846
   86: 0.844775876124
  105: 0.851934938354
  127: 0.857727265169
  176: 0.859342066824
  210: 0.860067325061
  216: 0.860574824170
  233: 0.860768489648
  238: 0.861717638897
  239: 0.863478896113
  240: 0.866355926854
  270: 0.866543863343
  271: 0.868952924835
  272: 0.872053704812
  306: 0.872757278480
  357: 0.872781068836

1 4 5 6 8 9 11 16 20 25 32 36 49 53 64 65 69 85 86 105 127 176 210 216 233 238 239 240 270 271 272 306 357

Fit of radii by a power law r = a0*n^a1:
  a0 = 0.40946  a1 = -0.47627