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%I #4 Nov 26 2014 09:56:18
%S 484,6166,71610,712806,6676967,58739370,498574034,4101893438,
%T 33038787862,261517579086,2043438617499,15800948435480,
%U 121191402790490,923419195908856,6998991639322528,52820352377908192,397229610123962169
%N Number of (n+1)X(2+1) 0..2 arrays with nondecreasing maximum of every two consecutive values in every row and column
%C Column 2 of A250620
%H R. H. Hardin, <a href="/A250614/b250614.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 20*a(n-1) -58*a(n-2) -1211*a(n-3) +7469*a(n-4) +29122*a(n-5) -286876*a(n-6) -311695*a(n-7) +6140380*a(n-8) -7690*a(n-9) -85918626*a(n-10) +44759888*a(n-11) +844728807*a(n-12) -655827274*a(n-13) -6063710214*a(n-14) +5375423069*a(n-15) +32445046521*a(n-16) -29581330770*a(n-17) -130679364110*a(n-18) +116147189109*a(n-19) +397073668236*a(n-20) -334338976080*a(n-21) -906794930412*a(n-22) +714243886032*a(n-23) +1542177478836*a(n-24) -1135140360464*a(n-25) -1924004585304*a(n-26) +1333380426408*a(n-27) +1721585725960*a(n-28) -1138046392224*a(n-29) -1068613653344*a(n-30) +684393855872*a(n-31) +437511683328*a(n-32) -275803776512*a(n-33) -109021933056*a(n-34) +68686921728*a(n-35) +14320318464*a(n-36) -9177366528*a(n-37) -700416000*a(n-38) +471859200*a(n-39)
%e Some solutions for n=3
%e ..0..0..2....0..0..2....0..0..0....0..0..0....1..1..2....0..0..2....2..2..1
%e ..0..1..1....2..1..2....1..0..1....0..1..1....1..0..1....1..0..2....2..2..2
%e ..0..1..2....1..1..2....2..2..1....0..2..2....0..1..2....0..2..1....2..1..2
%e ..1..2..0....2..2..1....1..2..1....0..0..1....1..2..2....1..2..2....0..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2014
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