Approximate Bernoulli Numbers

Description:Six User RPL programs are provided to calculate Bernoulli numbers in NUM APPROX mode: IBERN uses the built-in IBERNOULLI command, returning approximate results, Bn uses approximation methods for moderate speed and accuracy, BnT uses a table of all the representable Bernoulli numbers for the best speed and accuracy, BnTL and BnTL2 return lists of Bernoulli numbers, using BnT, and RnRAT finds the ratio of two consecutive non-zero Bernoulli numbers with an asymptotic relationship. Three additional programs illustrate the application of the Bernoulli numbers to evaluate a specific definite integral.
Filename:bernoullinums.zip
ID:9710
Current version:1.0
Author:Doug Burkett
Downloaded file size:378,428 bytes
Size on calculator:1-6 KB
Platforms:49/50  
User rating:Not yet rated (you must be logged in to vote)
Primary category:Math/Numeric
Languages:ENG  
File date:2025-05-06 12:10:42
Creation date:2025-05-06
Source code:Included
Download count:9
Version history:2025-09-21: Added to site
Archive contents:
  Length      Date    Time    Name
---------  ---------- -----   ----
      100  2025-05-05 11:14   IBERN.hp
      930  2025-05-05 11:30   Bn.s
      172  2025-05-05 13:32   BnRAT.s
     3858  2025-05-05 11:37   BnT.s
      511  2025-05-05 11:52   BnTL.s
      415  2025-05-05 13:11   BnTL2.s
      463  2025-05-05 15:02   LnSin.s
      563  2025-05-05 16:39   LNSINI.s
      111  2025-05-05 13:48   LSIcn.s
      659  2025-05-05 11:34   Bn.hp
      144  2025-05-05 13:39   BnRAT.hp
     2299  2025-05-05 11:40   BnT.hp
      555  2025-05-05 11:56   BnTL.hp
      378  2025-05-05 13:15   BnTL2.hp
      388  2025-05-05 16:10   LnSin.hp
      623  2025-05-05 16:45   LNSINI.hp
       70  2025-05-05 13:50   LSIcn.hp
      139  2025-05-05 10:41   IBERN.s
   377492  2025-05-06 11:09   Bernoulli_numbers.pdf
     1005  2025-05-06 11:38   readme.txt
---------                     -------
   390875                     20 files
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Copyright 1997-2025 Eric Rechlin.