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A242591
Triangle of number of shortest knight paths T(n,k) from square (0,0) at center of an infinite open chessboard to square (n,k), for 0<=k<=n<=19.
6
1, 12, 2, 2, 1, 54, 6, 2, 9, 2, 2, 6, 1, 3, 32, 6, 28, 6, 24, 3, 8, 24, 3, 18, 1, 12, 85, 6, 100, 16, 95, 12, 60, 4, 25, 240, 6, 70, 4, 50, 1, 30, 201, 10, 60, 40, 330, 35, 266, 20, 150, 5, 66, 588, 20, 210, 10, 180, 5, 120, 1, 60, 462, 15, 147
OFFSET
0,2
REFERENCES
Fred Lunnon, Knights in Daze, to appear.
EXAMPLE
Triangle starts:
1,
12,2,
2,1,54,
6,2,9,2,
2,6,1,3,32,
6,28,6,24,3,8,
24,3,18,1,12,85,6,
100,16,95,12,60,4,25,240,
6,70,4,50,1,30,201,10,60,
40,330,35,266,20,150,5,66,588,20,
...
See examples under A242511.
PROG
(Magma) see attached a-file for recursive & explicit algorithms
CROSSREFS
KEYWORD
easy,nonn,walk,tabl
AUTHOR
Fred Lunnon, May 18 2014
EXTENSIONS
a(65) ff. exported to b-file by Georg Fischer, Jul 16 2020
STATUS
approved