A269933 Number of nX3 0..6 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling six exactly once.

84, 36312, 5695536, 755009274, 91506078732, 10536802638018, 1172354654705496, 127313882431172946, 13576906131836963556, 1427607948065847637818, 148433098389226769237376, 15291883407551679953054394

Offset

1,1

Comments

Column 3 of A269937.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 144*a(n-1) -244*a(n-2) -431040*a(n-3) -653070*a(n-4) +185824500*a(n-5) -1565542220*a(n-6) -2246788724*a(n-7) +49596662711*a(n-8) -28656277332*a(n-9) -578014144012*a(n-10) +498466153668*a(n-11) +3129025277000*a(n-12) -1799356594080*a(n-13) -8214266955364*a(n-14) +1238204980096*a(n-15) +7873681484512*a(n-16) -756824714624*a(n-17) -2602301179968*a(n-18) +547351490048*a(n-19) -28883682304*a(n-20) for n>21

Example

Some solutions for n=2
..4..6..0. .6..2..1. .5..4..0. .1..3..4. .4..5..3. .0..5..6. .3..0..0
..6..4..3. .5..6..4. .6..1..4. .0..5..5. .5..4..2. .3..0..4. .3..2..0

Crossrefs

Cf. A269937.

Sequence in context: A232914 A145495 A275452 * A184126 A185403 A269897

Adjacent sequences: A269930 A269931 A269932 * A269934 A269935 A269936

Keyword

nonn

Author

R. H. Hardin, Mar 08 2016

Status

approved