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A195225 Number of lower triangles of a 7X7 integer array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by n or less and triangles differing by a constant counted only once 1

%I #12 Oct 07 2019 03:03:17

%S 2021888119,764465228592699,5137554141710397313,

%T 4059527861103273129317,863969905606597340602967,

%U 76019997788404353762724447,3546881146489163009435488735,102667264655001518661047239817

%N Number of lower triangles of a 7X7 integer array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by n or less and triangles differing by a constant counted only once

%C Row 7 of A195220

%C a(n) is an Ehrhart polynomial of degree 27. - _Robert Israel_, Oct 07 2019

%H R. H. Hardin, <a href="/A195225/b195225.txt">Table of n, a(n) for n = 1..9</a>

%e Some solutions for n=5

%e ...0.....................0.....................0

%e ...3..5..................5..0.................-3.-3

%e ...7..8..9...............5..3..2..............-2..0.-1

%e ...5..7..4..4............8..4.-1.-2...........-4.-4.-2..1

%e ...6..4..4.-1.-1.........3..3.-1..0.-4........-6.-1.-1.-3..1

%e ...1..4..2.-1..4..2......3..1.-2.-2.-3.-3.....-4.-4.-2.-4.-2..3

%e ...6..3..4..0..4..6..3...4..3..0..1.-1.-2.-1..-1..1.-3.-3.-2..0.-2

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 13 2011

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)