As part of the ongoing development of the BigRational and BigDecimalMath classes I needed to implement a method to calculate the Bernoulli numbers.
Since I had a hard time to find a reference list of the Bernoulli numbers I will put the table of the first few calculated numbers here.
For a larger list of Bernoulli numbers have a look at the bernoulli.csv file.
| B0 = |
1 | |
| B1 = |
-1 2 | |
| B2 = |
1 6 | |
| B3 = |
0 | |
| B4 = |
-1 30 | |
| B5 = |
0 | |
| B6 = |
1 42 | |
| B7 = |
0 | |
| B8 = |
-1 30 | |
| B9 = |
0 | |
| B10 = |
5 66 | |
| B11 = |
0 | |
| B12 = |
-691 2730 | |
| B13 = |
0 | |
| B14 = |
7 6 | |
| B15 = |
0 | |
| B16 = |
-3617 510 | |
| B17 = |
0 | |
| B18 = |
43867 798 | |
| B19 = |
0 | |
| B20 = |
-174611 330 | |
| B21 = |
0 | |
| B22 = |
854513 138 | |
| B23 = |
0 | |
| B24 = |
-236364091 2730 | |
| B25 = |
0 | |
| B26 = |
8553103 6 | |
| B27 = |
0 | |
| B28 = |
-23749461029 870 | |
| B29 = |
0 | |
| B30 = |
8615841276005 14322 | |
| B31 = |
0 | |
| B32 = |
-7709321041217 510 | |
| B33 = |
0 | |
| B34 = |
2577687858367 6 | |
| B35 = |
0 | |
| B36 = |
-26315271553053477373 1919190 | |
| B37 = |
0 | |
| B38 = |
2929993913841559 6 | |
| B39 = |
0 | |
| B40 = |
-261082718496449122051 13530 | |
| B41 = |
0 | |
| B42 = |
1520097643918070802691 1806 | |
| B43 = |
0 | |
| B44 = |
-27833269579301024235023 690 | |
| B45 = |
0 | |
| B46 = |
596451111593912163277961 282 | |
| B47 = |
0 | |
| B48 = |
-5609403368997817686249127547 46410 | |
| B49 = |
0 | |
| B50 = |
495057205241079648212477525 66 | |
| B51 = |
0 | |
| B52 = |
-801165718135489957347924991853 1590 | |
| B53 = |
0 | |
| B54 = |
29149963634884862421418123812691 798 | |
| B55 = |
0 | |
| B56 = |
-2479392929313226753685415739663229 870 | |
| B57 = |
0 | |
| B58 = |
84483613348880041862046775994036021 354 | |
| B59 = |
0 | |
| B60 = |
-1215233140483755572040304994079820246041491 56786730 | |
| B61 = |
0 | |
| B62 = |
12300585434086858541953039857403386151 6 | |
| B63 = |
0 | |
| B64 = |
-106783830147866529886385444979142647942017 510 | |
| B65 = |
0 | |
| B66 = |
1472600022126335654051619428551932342241899101 64722 | |
| B67 = |
0 | |
| B68 = |
-78773130858718728141909149208474606244347001 30 | |
| B69 = |
0 | |
| B70 = |
1505381347333367003803076567377857208511438160235 4686 | |
| B71 = |
0 | |
| B72 = |
-5827954961669944110438277244641067365282488301844260429 140100870 | |
| B73 = |
0 | |
| B74 = |
34152417289221168014330073731472635186688307783087 6 | |
| B75 = |
0 | |
| B76 = |
-24655088825935372707687196040585199904365267828865801 30 | |
| B77 = |
0 | |
| B78 = |
414846365575400828295179035549542073492199375372400483487 3318 | |
| B79 = |
0 |