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What process does Mathematica use to find closed forms for sequences?

Posted 10 years ago
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POSTED BY: Lone Ranger
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Hi,

if you type the squared number sequence in Woflram alpha gives:

enter image description here

In Mathematica the following command does the trick:

FindSequenceFunction[{108/17, 8748/1757, 432/113, 5292/1853, 972/473, 
  108/77, 54/61, 972/1973, 108/497, 108/1997}]

Best wishes, Marco

POSTED BY: Marco Thiel

That's a very useful function; thank you Marco. However, I am still unsure what I may conclude when this does not give a result. e.g for the sequence 19683/78608, 2418947995203/8678312148800, 172687707/577158800, \ 3191302184643/10179963963200, 13677256323/42329526800, \ 9623043/29218112, 60507243/181584800, 4122657892323/12288566907200, \ 16535178243/49105389200, 4298362362243/12742486356800

Are the numbers too large somehow?!

Cheers

POSTED BY: Lone Ranger
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