cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A349320 a(n) is the Y-coordinate of the n-th point of the hexdragon curve; sequence A349319 gives X-coordinates.

Original entry on oeis.org

0, 0, 1, 2, 3, 3, 4, 5, 5, 4, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 8, 7, 7, 8, 8, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 14, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 19, 19, 20, 20, 19, 18, 18, 17, 16, 16, 17, 17, 16, 16, 17, 17
Offset: 0

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Author

Rémy Sigrist, Nov 14 2021

Keywords

Comments

Coordinates are given on a hexagonal lattice with X-axis and Y-axis as follows (the Y-axis corresponds to the sixth primitive root of unity):
Y
/
/
0 ---- X
The hexdragon curve can be represented using an L-system obtained from that of the terdragon curve by replacing each "move forward and turn +-120 degrees" step by two "move forward and turn +- 60 degrees" steps.

Examples

			The hexdragon curve starts as follows:
              16-17
              /
            15
              \
              14
              /
         12-13
         /
       11      8--7
         \    /    \
         10--9      6
                   /
               4--5
              /
             3
              \
               2
              /
          0--1
- so a(0) = a(1) = 0,
     a(2) = 1,
     a(3) = 2,
     a(4) = a(5) = 3,
     a(6) = a(9) = a(10) = 4,
     a(7) = a(8) = a(11) = 5,
     a(12) = a(13) = 6,
     a(14) = 7,
     a(15) = 8,
     a(16) = a(17) = 9.
		

Crossrefs

See A349041 for a similar sequence.
Cf. A349319.

Programs

  • PARI
    See Links section.
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