COMMENTS
This sequences forms the 2 X 1 diagonal of the square maze arrangement in A081344. - Jarrod G. Sage, Jul 17 2024
Discussion
Fri Aug 30
14:40
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NAME
Write 1,2,... in clockwise spiral; sequence gives numbers on positive x axis.
COMMENTS
This sequences forms the 2x1 diagonal of the square maze arrangement in A081344. - Jarrod G. Sage, Jul 17 2024
Discussion
Thu Jul 18
00:02
Jon E. Schoenfield: “2x1” changed to “2 X 1” as required by the OEIS Style Sheet for Contributors … but what was the awful wording “This sequences forms” supposed to be?
00:04
Jon E. Schoenfield: And what is a “2 X 1 diagonal”?
00:49
Jarrod G. Sage: Before I make that next edit, maybe you can help me phrase it better—I'm not sure of a better way to say it than "this sequence forms" but I was responding to Kevin Ryde's note. I mean 2X1 as the diagonal where you go two in the vertical direction and one in the horizonal direction. I haven't seen a diagonal like this referred in a sequence yet, so I'm unsure what to use. I just want to point out a place where the sequence comes up, please help me use the best language for that.
10:48
Andrew Howroyd: I think this would be clearer written as a formula: a(n) = A081344(2*n+1, n+1). [seems easier to understand than language like 2 X 1 diagonal, that isn't widely used elsewhere]. Also, I think both of these formulas more naturally belong in A081344 - this sequence already has a simple formula - and a description of this sequence in terms of the more complicated A081344 is probably more useful in the other direction...
20:27
Jarrod G. Sage: That's a good point, I trust the judgement of more seasoned OEIS editors in that regard. I'll make an edit over there instead, and in the future if I'm relating two sequences, I'll add comments to the "less fundamental" one unless it suits both sequences well.
COMMENTS
a(n) is a 2x1 diagonal of the square maze arrangement presented in A081344. - Jarrod G. Sage, Jul 16 2024
Discussion
Wed Jul 17
23:55
Jarrod G. Sage: Fixed!
Discussion
Wed Jul 17
20:20
Kevin Ryde: "a(n)" is a number. It's not a diagonal.
EXAMPLE
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60 33 14 3---2 9 24 47 78
EXAMPLE
| | | | | | | |
60 33 14 3---2 9 24 47
Discussion
Wed Jul 17
15:59
Jarrod G. Sage: I had not seen it written as a formula already, thank you for pointing that out. I think there is a small benefit to calling out a relationship to the odd squares in words, but ultimately it is superfluous. If anyone thinks a verbal description of that equation adds anything substantive, we can add it back in.
