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A240260 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4 8

%I

%S 3,7,7,16,26,16,38,102,89,38,90,429,707,342,90,212,1814,5610,5484,

%T 1362,212,500,7576,45436,85567,43200,5447,500,1180,31876,368247,

%U 1378558,1350983,343959,21816,1180,2784,134302,2999288,22319938,43503375

%N T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4

%C Table starts

%C ....3.......7.........16..........38............90...........212...........500

%C ....7......26........102.........429..........1814..........7576.........31876

%C ...16......89........707........5610.........45436........368247.......2999288

%C ...38.....342.......5484.......85567.......1378558......22319938.....362690826

%C ...90....1362......43200.....1350983......43503375....1409359406...45804774819

%C ..212....5447.....343959....21525611....1386865953...89883497849.5842759733285

%C ..500...21816....2750576...344032061...44332944831.5748121725943

%C .1180...87527...22038291..5504564819.1418479860917

%C .2784..351510..176729972.88114108260

%C .6568.1412417.1417804827

%H R. H. Hardin, <a href="/A240260/b240260.txt">Table of n, a(n) for n = 1..81</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1) +2*a(n-3)

%F k=2: [order 31]

%F Empirical for row n:

%F n=1: a(n) = 2*a(n-1) +2*a(n-3)

%F n=2: [order 44]

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 1 and row 1 are A239040

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 03 2014

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Last modified May 26 00:32 EDT 2020. Contains 334613 sequences. (Running on oeis4.)