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

1,1

Comments

Column 7 of A232589

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

Example

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

Crossrefs

Sequence in context: A224541 A051695 A304165 * A097372 A263170 A321303

Adjacent sequences: A232585 A232586 A232587 * A232589 A232590 A232591

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved