Powharmonic series: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
Line 234: Line 234:
| -
| -
|0.00
|0.00
|2<sup>H(1)</sup>
|2<sup>H(1)</sup> = 2<sup>1</sup>
|2
|2
|1200.00
|1200.00
Line 247: Line 247:
|831.78
|831.78
|831.78
|831.78
|2<sup>H(2)</sup>
|2<sup>H(2)</sup> = 2<sup>3/2</sup>
|2.828427125
|2.828427125
|1800.00
|1800.00
Line 260: Line 260:
|486.56
|486.56
|118.33
|118.33
|2<sup>H(3)</sup>
|2<sup>H(3)</sup> = 2<sup>11/6</sup>
|3.563594873
|3.563594873
|2200.00
|2200.00
Line 273: Line 273:
|345.22
|345.22
|463.55
|463.55
|2<sup>ln(4)</sup>
|2<sup>H(4)</sup> = 2<sup>25/12</sup>
|4.237852377
|4.237852377
|2500.00
|2500.00
Line 286: Line 286:
|267.77
|267.77
|731.33
|731.33
|2<sup>ln(5)</sup>
|2<sup>H(5)</sup> = 2<sup>137/60</sup>
|4.868014055
|4.868014055
|2740.00
|2740.00
Line 299: Line 299:
|218.79
|218.79
|950.11
|950.11
|2<sup>ln(6)</sup>
|2<sup>H(6)</sup> = 2<sup>49/20</sup>
|5.464161027
|5.464161027
|2940.00
|2940.00
Line 312: Line 312:
|184.98
|184.98
|1135.09
|1135.09
|2<sup>ln(7)</sup>
|2<sup>H(7)</sup> = 2<sup>363/140</sup>
|6.032922891
|6.032922891
|3111.43
|3111.43
Line 325: Line 325:
|160.24
|160.24
|95.33
|95.33
|2<sup>ln(8)</sup>
|2<sup>H(8)</sup> = 2<sup>761/280</sup>
|6.578949063
|6.578949063
|3261.43
|3261.43
Line 338: Line 338:
|141.34
|141.34
|236.67
|236.67
|2<sup>ln(9)</sup>
|2<sup>H(9)</sup> = 2<sup>7129/2520</sup>
|7.105658007
|7.105658007
|3394.76
|3394.76
Line 351: Line 351:
|126.43
|126.43
|363.10
|363.10
|2<sup>ln(10)</sup>
|2<sup>H(10)</sup>
|7.615655686
|7.615655686
|3514.76
|3514.76
Line 364: Line 364:
|114.37
|114.37
|477.47
|477.47
|2<sup>ln(11)</sup>
|2<sup>H(11)</sup>
|8.110986229
|8.110986229
|3623.85
|3623.85
Line 377: Line 377:
|104.41
|104.41
|581.89
|581.89
|2<sup>ln(12)</sup>
|2<sup>H(12)</sup>
|8.593290568
|8.593290568
|3723.85
|3723.85
Line 390: Line 390:
|96.05
|96.05
|677.94
|677.94
|2<sup>ln(13)</sup>
|2<sup>H(13)</sup>
|9.063911377
|9.063911377
|3816.16
|3816.16
Line 403: Line 403:
|88.93
|88.93
|766.87
|766.87
|2<sup>ln(14)</sup>
|2<sup>H(14)</sup>
|9.523965051
|9.523965051
|3901.87
|3901.87
Line 416: Line 416:
|82.79
|82.79
|849.66
|849.66
|2<sup>ln(15)</sup>
|2<sup>H(15)</sup>
|9.974392624
|9.974392624
|3981.87
|3981.87
Line 429: Line 429:
|77.45
|77.45
|927.11
|927.11
|2<sup>ln(16)</sup>
|2<sup>H(16)</sup>
|10.41599671
|10.41599671
|4056.87
|4056.87
|75.00
|75.00
|456.87
|456.87
|1.524293028
|1.524293028 ... -> 2γ = 1.49196704047
|}
|}