A232588 Number of (n+1)X(7+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal.
90, 744, 7568, 68072, 595304, 5045772, 41969054, 344123498, 2791211292, 22459482618, 179631450494, 1430206865644, 11348368440492, 89814921458080, 709441275635178, 5595533382083776, 44083691591740368, 347010348931531478
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..1..2..0..1..2..1..0....2..1..0..2..1..2..1..0....0..1..2..1..0..2..1..0 ..0..1..2..0..1..2..1..0....0..2..1..0..1..0..1..0....0..1..0..2..1..2..1..0 ..0..1..2..0..1..2..1..0....1..0..1..2..1..2..1..0....0..2..1..0..1..2..1..0 ..0..1..2..0..1..0..1..2....1..2..1..0..1..2..1..2....1..0..1..2..1..0..1..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 18*a(n-1) -77*a(n-2) -313*a(n-3) +2732*a(n-4) +249*a(n-5) -38061*a(n-6) +45840*a(n-7) +279302*a(n-8) -581228*a(n-9) -1117174*a(n-10) +3446483*a(n-11) +2380630*a(n-12) -11930318*a(n-13) -2781301*a(n-14) +27732967*a(n-15) +2834911*a(n-16) -47611218*a(n-17) -7266202*a(n-18) +62440319*a(n-19) +19473699*a(n-20) -60093400*a(n-21) -33402804*a(n-22) +37057039*a(n-23) +35703040*a(n-24) -8358339*a(n-25) -21730512*a(n-26) -5474419*a(n-27) +5391258*a(n-28) +3352312*a(n-29) +132351*a(n-30) -68518*a(n-31) +77270*a(n-32) +18709*a(n-33) +120066*a(n-34) +164226*a(n-35) +66593*a(n-36) -37343*a(n-37) -45515*a(n-38) -8483*a(n-39) +5811*a(n-40) +2451*a(n-41) -34*a(n-42) -135*a(n-43) -16*a(n-44) for n>45
Comments