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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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Fred Lunnon, Knights in Daze, to appear.

LINKS

Georg Fischer, Table of n, a(n) for n = 0..209

Fred Lunnon, Revised tables & functions for knight's path distance and count (MAGMA code)

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

Cf. A242511, A242512, A242513, A242514, A183043.

Sequence in context: A010204 A124607 A177429 * A010205 A328844 A080496

Adjacent sequences: A242588 A242589 A242590 * A242592 A242593 A242594

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

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Last modified December 6 19:33 EST 2022. Contains 358648 sequences. (Running on oeis4.)