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%I A297607 #4 Jan 01 2018 14:53:28
%S A297607 2,4,4,7,11,8,13,35,35,16,24,96,181,106,32,44,281,787,953,327,64,81,
%T A297607 829,3691,6413,4997,1003,128,149,2428,17186,49198,52512,26155,3082,
%U A297607 256,274,7059,80140,368007,654033,429491,137033,9465,512,504,20611,371557
%N A297607 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.
%C A297607 Table starts
%C A297607 ...2.....4.......7........13..........24............44..............81
%C A297607 ...4....11......35........96.........281...........829............2428
%C A297607 ...8....35.....181.......787........3691.........17186...........80140
%C A297607 ..16...106.....953......6413.......49198........368007.........2781983
%C A297607 ..32...327....4997.....52512......654033.......7847849........95770934
%C A297607 ..64..1003...26155....429491.....8689859.....167209522......3295502717
%C A297607 .128..3082..137033...3514058...115571432....3567494618....113592447685
%C A297607 .256..9465..717905..28752016..1536728161...76095857063...3914150992637
%C A297607 .512.29073.3760657.235246416.20433704585.1623142226575.134873268392766
%H A297607 R. H. Hardin, <a href="/A297607/b297607.txt">Table of n, a(n) for n = 1..220</a>
%F A297607 Empirical for column k:
%F A297607 k=1: a(n) = 2*a(n-1)
%F A297607 k=2: a(n) = 2*a(n-1) +3*a(n-2) +a(n-3) -a(n-5)
%F A297607 k=3: [order 11]
%F A297607 k=4: [order 32]
%F A297607 k=5: [order 55]
%F A297607 Empirical for row n:
%F A297607 n=1: a(n) = a(n-1) +a(n-2) +a(n-3)
%F A297607 n=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +12*a(n-4) -12*a(n-6)
%F A297607 n=3: [order 13]
%F A297607 n=4: [order 34]
%F A297607 n=5: [order 96]
%e A297607 Some solutions for n=4 k=4
%e A297607 ..1..0..1..0. .0..0..1..0. .0..0..0..1. .0..0..1..0. .1..0..1..1
%e A297607 ..0..0..1..0. .1..0..0..1. .1..0..1..0. .0..0..0..1. .1..0..0..0
%e A297607 ..0..0..0..0. .0..1..0..1. .1..0..0..0. .0..0..0..0. .0..0..0..1
%e A297607 ..1..0..1..1. .0..1..0..1. .0..0..1..1. .0..1..0..0. .0..1..1..1
%Y A297607 Column 1 is A000079.
%Y A297607 Column 2 is A295247.
%Y A297607 Row 1 is A000073(n+3).
%K A297607 nonn,tabl
%O A297607 1,1
%A A297607 _R. H. Hardin_, Jan 01 2018

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