A231107 Number of nX7 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

0, 230, 10734, 616562, 34716434, 1961000570, 110728004898, 6252665856636, 353077459141674, 19937713140431338, 1125850289870400070, 63574939703824826996, 3589973718766851246796, 202719992647916104671132

Offset

1,2

Comments

Column 7 of A231108

Links

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

Formula

Empirical: a(n) = 54*a(n-1) +303*a(n-2) -8438*a(n-3) -51524*a(n-4) +304033*a(n-5) +2821855*a(n-6) +3938314*a(n-7) -13596466*a(n-8) -7317780*a(n-9) +163688590*a(n-10) +90002280*a(n-11) -1572858163*a(n-12) -3882478430*a(n-13) -1389263889*a(n-14) +6381705578*a(n-15) +8394459829*a(n-16) -451552151*a(n-17) -7716187454*a(n-18) -4163172172*a(n-19) +2101705748*a(n-20) +2486771007*a(n-21) -1878604*a(n-22) -619420700*a(n-23) -11635357*a(n-24) +153476360*a(n-25) +14239386*a(n-26) -20304611*a(n-27) -1386017*a(n-28) +651720*a(n-29) -340*a(n-30) +10512*a(n-31) -256*a(n-32) for n>34

Example

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

Crossrefs

Sequence in context: A232379 A333136 A231061 * A231251 A051183 A251275

Adjacent sequences: A231104 A231105 A231106 * A231108 A231109 A231110

Keyword

nonn

Author

R. H. Hardin, Nov 03 2013

Status

approved