[seqfan] Did the OEIS already have the answer to this Math.StackExchange question?

Alonso Del Arte alonso.delarte at gmail.com
Fri May 30 20:40:52 CEST 2014


In the torrential stream of advanced algebra class homework questions on
Math.StackExchange, I found the following elementary number theory question
from James47:

What is the largest integer with only one representation as a sum of five
nonzero squares?

http://math.stackexchange.com/questions/811824/

This immediately suggests two or three sequences, which might already all
be in the OEIS. If Hagen von Eitzen's answer is correct, then the sequence
of largest integers with only n representations as a sum of five nonzero
squares starts off 33, 60, which gives more than sixty results, of which
the first page seems to be all red herrings.

Earlier on, Hagen had asserted that all numbers greater (390k + 13)^2 have
at least k + 1 representations. This suggests another sequence, 169,
162409, 628849, which is not in the OEIS, but would be hard to justify if
Hagen's later answer of 60 is correct, as it suggests the answer for n = 2
should be much smaller than 628849.

For now I can't tell if James47 has at least read Hagen's and Jyrki
Lahtonen's answers.

Al

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Alonso del Arte
Author at SmashWords.com
<https://www.smashwords.com/profile/view/AlonsoDelarte>
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