Submitting a sequence without any comments

[Žiga Pirc]

Hello, 

I created my first draft few days ago (https://oeis.org/draft/A394904), but I didn't find any interesting propreties about it therefore it's pretty empty. 

Is submitting a sequence with almost no additional infomation besides terms acceptable, or is the sequence not special enough to be published? 

[Allan Wechsler]

There are plenty of sequences in OEIS with only one interpretation. You can think of them as "waiting" for some other mathematician to discover the terms in a completely different context, look them up in OEIS, find your sequence, and prove an interesting theorem, adding a comment with the new interpretation and a reference to their paper. That's how OEIS helps mathematics. If people withhold sequences because they only know one interpretation, the interesting theorem might never be proved.

Of my own contributions, one of the ones I am fondest of is oeis.org/A147680, "disk polyominoes", and it also has only one interpretation.

If you wanted to go looking for more facts about your sequence, you might start with oeis.org/A218381, which has exactly the same idea as your sequence, but subtracting the factors is not allowed. Look at the work people have done on that, and see if any of it carries over to your sequence.

-- Allan

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[Charles Greathouse]

I think the sequence is great and should stay. I do prefer the alternate name from M. F. Hasler in the pink boxes:

Numbers x*y such that x + y or |x - y| is a square.

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[Allan Wechsler]

Žiga, you might consider adding "x*y such that x - y is a square", that is, only allowing subtracting the factors, and not adding them. I think this starts 0,1,2,4,5,6,9,10,12,16,17,20, but I'm not 100% sure of that.

-- Allan

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[brad klee]

> Numbers x*y such that x + y or |x - y| is a square.

Perhaps I'm stating the obvious here: this defines a set not a sequence. 

If you want a comment perhaps that's the place to over-explain the set 

is assumed to have increasing order instead of weird order. 

Cross-referencing to squares is also a good suggestion from the reviewer.
Another good idea for crossreference is if you know of or can find other 

sequences including or included by your new suggestion. 

Composite numbers would not work as a super set since you are allowing 

1's to appear as factors. Your submission should be a superset of this: 

https://oeis.org/A002496

My usual first question about a sequence like this is how many crossrefs 

would we need to define it in terms of set operations on those seqs? 

You could also cross reference the primes as a lot of them are missing. 

Best wishes, 

--Brad