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%I #4 Dec 20 2015 10:23:28
%S 19,598,10310,624720,27764427,1354845965,66932934348,3259070209301,
%T 159353279107646,7792621095228513,380866765803286898,
%U 18618322174587460635,910139683582143961662,44490397159770539486511
%N Number of nX5 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.
%C Column 5 of A266055.
%H R. H. Hardin, <a href="/A266052/b266052.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 19*a(n-1) +746*a(n-2) +27847*a(n-3) +309119*a(n-4) +2306897*a(n-5) -16828113*a(n-6) -271769128*a(n-7) -852109469*a(n-8) +7018554962*a(n-9) +21358934767*a(n-10) -14604813532*a(n-11) -560980746043*a(n-12) +3159891015468*a(n-13) -9226037083897*a(n-14) +27361727881158*a(n-15) -144705648305592*a(n-16) +511309088732527*a(n-17) -1205962353344617*a(n-18) +1543824576826165*a(n-19) -763252872837213*a(n-20) -384895543722058*a(n-21) +714574203187388*a(n-22) -287313767063371*a(n-23) +39708960973077*a(n-24) +7995903030661*a(n-25) -22279656771257*a(n-26) -3251846703346*a(n-27) +1501572270544*a(n-28) +113454890215*a(n-29) -62444936434*a(n-30) +23830635082*a(n-31) +112979674*a(n-32) -246936756*a(n-33) +16522476*a(n-34) -657832*a(n-35) -147424*a(n-36) +3456*a(n-37) for n>40
%e Some solutions for n=3
%e ..1..0..2..2..0....1..0..3..3..0....1..0..1..2..2....1..0..1..3..1
%e ..1..4..4..2..1....2..1..2..1..2....1..3..4..0..2....1..4..3..1..2
%e ..0..1..3..0..1....0..3..2..1..0....0..1..3..1..1....1..1..3..1..1
%Y Cf. A266055.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2015
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