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%I #5 Mar 31 2012 12:36:34
%S 1,13,132,2715,59281,1544783,40546053,1100262051,29830418147,
%T 813591963761,22176955780999,605153141144795,16510148540966104,
%U 450529856078844767,12293523860930239681,335463844113052677850
%N Number of nX3 0..4 arrays with values 0..4 introduced in row major order and each element equal to one or two horizontal and vertical neighbors
%C Column 3 of A198669
%H R. H. Hardin, <a href="/A198664/b198664.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 26*a(n-1) +207*a(n-2) -4693*a(n-3) -5776*a(n-4) +157591*a(n-5) +139443*a(n-6) -1825139*a(n-7) -3912555*a(n-8) +9205948*a(n-9) +49540346*a(n-10) -50523258*a(n-11) -187400427*a(n-12) +193241548*a(n-13) +457708054*a(n-14) -2348260717*a(n-15) -853094525*a(n-16) +19413615836*a(n-17) -4559327195*a(n-18) -81422778316*a(n-19) +29945338304*a(n-20) +301610165665*a(n-21) -167143208735*a(n-22) -816553663024*a(n-23) +863486594864*a(n-24) +360655337798*a(n-25) -4549562921429*a(n-26) +2936432568750*a(n-27) +19962871586477*a(n-28) -6710978972167*a(n-29) -45546401098564*a(n-30) +12779999633307*a(n-31) +41720387693559*a(n-32) -36287192385505*a(n-33) +1527013277477*a(n-34) +152317108173902*a(n-35) +35931632692232*a(n-36) -236911335057032*a(n-37) -134246505542044*a(n-38) -202262924273384*a(n-39) -284614527001184*a(n-40) +24380741738928*a(n-41) +465170070212768*a(n-42) +610398531322432*a(n-43) +205669857696256*a(n-44) +965878890074624*a(n-45) -10768073967104*a(n-46) +541791030492160*a(n-47) +1703742317537280*a(n-48) -974079293448192*a(n-49) -101946236010496*a(n-50) -762059395989504*a(n-51) -2488636072656896*a(n-52) -986411874910208*a(n-53) -226783416811520*a(n-54) -358318577025024*a(n-55) +403639919181824*a(n-56) +362849171931136*a(n-57) +64276333068288*a(n-58) -22574348107776*a(n-59) -14843406974976*a(n-60) for n>61
%e Some solutions with all values 0 to 4 for n=4
%e ..0..1..1....0..1..2....0..1..1....0..0..1....0..0..0....0..1..2....0..1..1
%e ..0..2..2....0..1..2....0..2..2....2..2..1....1..2..2....0..1..2....0..0..2
%e ..3..3..3....0..0..3....3..4..1....3..4..1....1..3..3....2..3..3....3..2..2
%e ..4..4..4....4..4..3....3..4..1....3..4..1....4..4..4....2..4..4....3..4..4
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 28 2011
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