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%I #5 Dec 19 2015 09:15:27
%S 3,8,50,1491,7741,82424,763505,6210500,59946891,519317082,4648314729,
%T 41998409548,372087286538,3343130550271,29871977852857,
%U 266886700884439,2389390603377066,21353641948385927,190995707152937241
%N Number of nX2 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself.
%C Column 2 of A265965.
%H R. H. Hardin, <a href="/A265961/b265961.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +21*a(n-2) +203*a(n-3) +238*a(n-4) +4932*a(n-5) -849*a(n-6) +1928*a(n-7) -121174*a(n-8) -213452*a(n-9) -1661362*a(n-10) -1851417*a(n-11) +1090499*a(n-12) +11973623*a(n-13) +3597843*a(n-14) +4813209*a(n-15) -34905904*a(n-16) +30566100*a(n-17) -51580886*a(n-18) +30604488*a(n-19) -34706660*a(n-20) +227606392*a(n-21) +121796739*a(n-22) -26131615*a(n-23) -219798407*a(n-24) -65796547*a(n-25) +157754498*a(n-26) +21801560*a(n-27) -33218767*a(n-28) +34577383*a(n-29) +11740953*a(n-30) -15006230*a(n-31) -5174032*a(n-32) +8271454*a(n-33) -2211321*a(n-34) +302698*a(n-35) +259499*a(n-36) +410728*a(n-37) -251580*a(n-38) +104016*a(n-39) -18192*a(n-40) +1024*a(n-41)
%e Some solutions for n=4
%e ..2..0....1..2....2..2....0..2....1..2....0..2....2..1....2..2....0..3....1..0
%e ..1..4....0..4....2..3....1..4....0..4....4..0....1..3....0..3....3..0....3..4
%e ..4..2....3..2....4..1....2..4....3..1....4..4....3..4....2..4....4..3....0..3
%e ..1..1....0..2....1..2....1..1....3..0....1..1....1..1....0..1....0..1....2..0
%Y Cf. A265965.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2015
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