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A253341 Number of (n+2)X(7+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 3, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. 1

%I #7 Sep 27 2015 12:20:34

%S 319172,7426426,237047904,6203113283,143441370184,3788905574401,

%T 98349771149487,1926953342923239,46982876350047054,912616386638325080,

%U 16956678061495627361,235791177168459306126,4988065327432414551378

%N Number of (n+2)X(7+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 3, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero.

%C Column 7 of A253342.

%H R. H. Hardin, <a href="/A253341/b253341.txt">Table of n, a(n) for n = 1..63</a>

%e Some solutions for n=1

%e ..0..1..0..1..1..1..2..2..2....0..1..1..0..0..1..1..2..1

%e ..0..2..0..1..1..2..2..2..3....1..1..0..1..1..1..1..1..2

%e ..1..0..1..1..1..2..2..3..2....0..0..1..1..0..1..1..2..1

%e Knight distance matrix for n=1

%e ..0..3..2..3..2..3..4..5..4

%e ..3..4..1..2..3..4..3..4..5

%e ..2..1..4..3..2..3..4..5..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)