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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A327131 Cells visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step.

Original entry on oeis.org

1, 20, 6, 9, 4, 8, 5, 10, 13, 2, 14, 7, 11, 22, 3, 15, 12, 23, 26, 29, 16, 19, 34, 54, 17, 31, 50, 47, 24, 21, 18, 32, 35, 55, 30, 27, 45, 68, 25, 42, 39, 36, 33, 53, 78, 48, 51, 76, 106, 49, 73, 28, 46, 43, 40, 37, 58, 84, 87, 60, 63, 41, 69, 72, 101, 67, 44
Offset: 1

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Author

Sangeet Paul, Aug 22 2019

Keywords

Comments

The infinite hexagonal board is numbered spirally as:
.
17--18--19...
/
16 6---7---8
/ / \
15 5 1---2 9
\ \ / /
14 4---3 10
\ /
13--12--11
.
In Glinski's hexagonal chess, a knight (N) can move to these (o) cells:
.
. . . . .
. . o o . .
. o . . . o .
. o . . . . o .
. . . . N . . . .
. o . . . . o .
. o . . . o .
. . o o . .
. . . . .
.
This sequence is finite and ends at a(83966) = 72085 when the knight is "trapped".

Crossrefs

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