A275128 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2.

41, 256, 675, 2545, 12423, 62378, 315021, 1591442, 8024937, 40445177, 203778488, 1026594464, 5172646773, 26068048495, 131374129725, 662045442417, 3336258461916, 16812605674569, 84724677500065, 426956397683686

Offset

1,1

Comments

Column 5 of A275131.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -27*a(n-2) +79*a(n-3) -99*a(n-4) -81*a(n-5) +860*a(n-6) -1162*a(n-7) -868*a(n-8) +1676*a(n-9) -3352*a(n-10) -1549*a(n-11) +4857*a(n-12) +1164*a(n-13) +3213*a(n-14) +5946*a(n-15) -1377*a(n-16) -5652*a(n-17) -4880*a(n-18) -2760*a(n-19) -710*a(n-20) +595*a(n-21) +1142*a(n-22) +594*a(n-23) +71*a(n-24) +48*a(n-25) +20*a(n-26) +a(n-28) for n>31

Example

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

Crossrefs

Cf. A275131.

Sequence in context: A063939 A239716 A275180 * A142113 A226041 A233406

Adjacent sequences: A275125 A275126 A275127 * A275129 A275130 A275131

Keyword

nonn

Author

R. H. Hardin, Jul 17 2016

Status

approved