[seqfan] Re: nice new board game puzzle A337663
hv at crypt.org
hv at crypt.org
Thu Nov 5 21:13:05 CET 2020
Earlier I wrote:
:Peter Kagey <peterkagey at gmail.com> wrote:
::This is a really lovely sequence. I'd be interested to know more about
::this, such as [...] How many maximal games?
:
:Here's some data on that for k = 2, 3, 4; I'll have it for 5 sometime
:later. Currently working on making runs continuable, so I can start
:a many-day run for n=6 without having to complete it in one go.
a(5) = 49 has 4 solutions; a(6) = 60 has 1 solution.
Hugo
---
. . 39 . . . 47 . 49
46 20 19 . 40 . 23 24 25
26 . 1 18 . 22 . 1 .
. 6 2 7 8 . 14 . 42
. 28 3 1 38 13 27 41 .
. 48 17 4 5 . . . .
. . . 9 43 15 31 . .
. . 30 . 10 . 16 . .
. . . 21 11 1 29 45 .
. . . 32 . 12 . . .
. 34 33 . 44 . . . .
35 1 . . . . . . .
. 36 37 . . . . . .
. . 39 . . . . . 49
46 20 19 . 40 . 23 24 25
26 . 1 18 . 22 . 1 .
. 6 2 7 8 . 14 . 42
. 28 3 1 38 13 27 41 .
. 48 17 4 5 . . . .
. . . 9 43 15 31 47 .
. . 30 . 10 . 16 . .
. . . 21 11 1 29 45 .
. . . 32 . 12 . . .
. 34 33 . 44 . . . .
35 1 . . . . . . .
. 36 37 . . . . . .
. . 39 . . . 47 . 49
46 20 19 . 40 . 23 24 25
26 . 1 18 . 22 . 1 .
. 6 2 7 8 . 14 . 42
. 28 3 1 38 13 27 41 .
. 48 17 4 5 . . . .
. . . 9 43 15 31 . .
. . 30 . 10 . 16 . .
. . . 21 11 1 29 45 .
. . . 32 . 12 . . .
37 . 33 . 44 . . . .
36 1 34 . . . . . .
. 35 . . . . . . .
. . 39 . . . . . 49
46 20 19 . 40 . 23 24 25
26 . 1 18 . 22 . 1 .
. 6 2 7 8 . 14 . 42
. 28 3 1 38 13 27 41 .
. 48 17 4 5 . . . .
. . . 9 43 15 31 47 .
. . 30 . 10 . 16 . .
. . . 21 11 1 29 45 .
. . . 32 . 12 . . .
37 . 33 . 44 . . . .
36 1 34 . . . . . .
. 35 . . . . . . .
. 56 42 . 60 . . . . . . . . .
. . 14 28 32 . . . . . . . . .
. 29 10 4 . 35 . . . . . . . .
. 44 5 1 3 46 . . . . . . . .
. . . 31 2 6 . 37 . . . . . .
55 . . 11 9 1 7 30 . . . . . .
54 1 12 45 . 25 8 15 . . . . . .
27 26 13 . . 33 . 40 16 34 51 . . .
53 . 39 52 . . . . 1 17 . . . .
. . . . . . . 57 18 . 36 . . .
. . . . . . . . 38 19 . . . .
. . . . . . . . 58 1 20 41 . .
. . . . . . . . 59 . 21 . . 47
. . . . . . . . . . 43 22 23 24
. . . . . . . . . . . . 1 48
. . . . . . . . . . . 50 49 .
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