m! 計算結果 近似式 誤差[%] 5! 1.200000e+02 1.180192e+02 1.7 10! 3.628800e+06 3.598696e+06 0.8 15! 1.307674e+12 1.300431e+12 0.6 20! 2.432902e+18 2.422787e+18 0.4 25! 1.551121e+25 1.545959e+25 0.3 30! 2.652529e+32 2.645171e+32 0.3 35! 1.033315e+40 1.030858e+40 0.2 40! 8.159153e+47 8.142173e+47 0.2 45! 1.196222e+56 1.194009e+56 0.2 50! 3.041409e+64 3.036345e+64 0.2 55! 1.269640e+73 1.267718e+73 0.2 60! 8.320987e+81 8.309438e+81 0.1 65! 8.247651e+90 8.237084e+90 0.1 70! 1.197857e+100 1.196432e+100 0.1 75! 2.480914e+109 2.478159e+109 0.1 80! 7.156946e+118 7.149494e+118 0.1 85! 2.817104e+128 2.814344e+128 0.1 90! 1.485716e+138 1.484341e+138 0.1 95! 1.032998e+148 1.032092e+148 0.1 100! 9.332622e+157 9.324848e+157 0.1 m! オーダー 近似式 誤差[%] 5! 4.787492e+00 3.047190e+00 36.4 10! 1.510441e+01 1.302585e+01 13.8 15! 2.789927e+01 2.562075e+01 8.2 20! 4.233562e+01 3.991465e+01 5.7 25! 5.800361e+01 5.547190e+01 4.4 30! 7.465824e+01 7.203592e+01 3.5 35! 9.213618e+01 8.943718e+01 2.9 40! 1.103206e+02 1.075552e+02 2.5 45! 1.291239e+02 1.262998e+02 2.2 50! 1.484778e+02 1.456012e+02 1.9 55! 1.683274e+02 1.654033e+02 1.7 60! 1.886282e+02 1.856607e+02 1.6 65! 2.093426e+02 2.063352e+02 1.4 70! 2.304390e+02 2.273947e+02 1.3 75! 2.518904e+02 2.488116e+02 1.2 80! 2.736731e+02 2.705621e+02 1.1 85! 2.957666e+02 2.926254e+02 1.1 90! 3.181526e+02 3.149829e+02 1.0 95! 3.408151e+02 3.376183e+02 0.9 100! 3.637394e+02 3.605170e+02 0.9 m! オーダー 定数を除いた項 誤差[%] 5! 4.787492e+00 3.851909e+00 19.5 10! 1.510441e+01 1.417714e+01 6.1 15! 2.789927e+01 2.697478e+01 3.3 20! 4.233562e+01 4.141251e+01 2.2 25! 5.800361e+01 5.708133e+01 1.6 30! 7.465824e+01 7.373652e+01 1.2 35! 9.213618e+01 9.121486e+01 1.0 40! 1.103206e+02 1.093996e+02 0.8 45! 1.291239e+02 1.282031e+02 0.7 50! 1.484778e+02 1.475572e+02 0.6 55! 1.683274e+02 1.674070e+02 0.5 60! 1.886282e+02 1.877078e+02 0.5 65! 2.093426e+02 2.084224e+02 0.4 70! 2.304390e+02 2.295189e+02 0.4 75! 2.518904e+02 2.509704e+02 0.4 80! 2.736731e+02 2.727531e+02 0.3 85! 2.957666e+02 2.948467e+02 0.3 90! 3.181526e+02 3.172328e+02 0.3 95! 3.408151e+02 3.398952e+02 0.3 100! 3.637394e+02 3.628196e+02 0.3 m! オーダー 完全な式 誤差[%] 5! 4.787492e+00 4.770847e+00 0.3 10! 1.510441e+01 1.509608e+01 0.1 15! 2.789927e+01 2.789372e+01 0.0 20! 4.233562e+01 4.233145e+01 0.0 25! 5.800361e+01 5.800027e+01 0.0 30! 7.465824e+01 7.465546e+01 0.0 35! 9.213618e+01 9.213379e+01 0.0 40! 1.103206e+02 1.103186e+02 0.0 45! 1.291239e+02 1.291221e+02 0.0 50! 1.484778e+02 1.484761e+02 0.0 55! 1.683274e+02 1.683259e+02 0.0 60! 1.886282e+02 1.886268e+02 0.0 65! 2.093426e+02 2.093413e+02 0.0 70! 2.304390e+02 2.304379e+02 0.0 75! 2.518904e+02 2.518893e+02 0.0 80! 2.736731e+02 2.736721e+02 0.0 85! 2.957666e+02 2.957656e+02 0.0 90! 3.181526e+02 3.181517e+02 0.0 95! 3.408151e+02 3.408142e+02 0.0 100! 3.637394e+02 3.637385e+02 0.0