a = [ 1.00000000000000000000, 0.57721566490153286061, -0.65587807152025388108,
     -0.04200263503409523553, 0.16653861138229148950, -0.04219773455554433675,
     -0.00962197152787697356, 0.00721894324666309954, -0.00116516759185906511,
     -0.00021524167411495097, 0.00012805028238811619, -0.00002013485478078824,
     -0.00000125049348214267, 0.00000113302723198170, -0.00000020563384169776,
      0.00000000611609510448, 0.00000000500200764447, -0.00000000118127457049,
      0.00000000010434267117, 0.00000000000778226344, -0.00000000000369680562,
      0.00000000000051003703, -0.00000000000002058326, -0.00000000000000534812,
      0.00000000000000122678, -0.00000000000000011813, 0.00000000000000000119,
      0.00000000000000000141, -0.00000000000000000023, 0.00000000000000000002].reverse()

def gamma = { 1.0 / a.inject(0) { sm, a_i -> sm * (it - 1) + a_i } }

(1..10).each{ printf("%  1.9e\n", gamma(it / 3.0)) }