A275040 Number of 5Xn 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-2) or (-2,0) and new values introduced in order 0..2.

12, 162, 450, 2334, 11624, 57984, 290927, 1465435, 7376949, 37148115, 187150874, 943024281, 4751935274, 23946771826, 120679612086, 608149528211, 3064647978801, 15443791732842, 77826897454970, 392197493948848

Offset

1,1

Comments

Row 5 of A275037.

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>32

Example

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

Crossrefs

Cf. A275037.

Sequence in context: A167558 A048609 A048603 * A109391 A296194 A307071

Adjacent sequences: A275037 A275038 A275039 * A275041 A275042 A275043

Keyword

nonn

Author

R. H. Hardin, Jul 14 2016

Status

approved