A276245 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-2) and new values introduced in order 0..2.

12, 216, 900, 6372, 43662, 291113, 2003694, 13727745, 93489265, 640009243, 4379295051, 29922848497, 204644541144, 1399625354348, 9569139510819, 65434111682248, 447456959717215, 3059585696910093, 20921152908833326

Offset

1,1

Comments

Column 5 of A276248.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -15*a(n-2) +193*a(n-3) -1673*a(n-4) +2361*a(n-5) -13142*a(n-6) +119938*a(n-7) -153895*a(n-8) +427606*a(n-9) -4363581*a(n-10) +5536053*a(n-11) -7687709*a(n-12) +89955043*a(n-13) -118267531*a(n-14) +83663690*a(n-15) -1111701314*a(n-16) +1540668051*a(n-17) -578797811*a(n-18) +8437597818*a(n-19) -12402279754*a(n-20) +2556185764*a(n-21) -39106130132*a(n-22) +61573100446*a(n-23) -6751787454*a(n-24) +105856537916*a(n-25) -184309560828*a(n-26) +8639167892*a(n-27) -147643128228*a(n-28) +315356494588*a(n-29) -1551938012*a(n-30) +63541767808*a(n-31) -274843851584*a(n-32) -4525044880*a(n-33) +51262094912*a(n-34) +89401851200*a(n-35) +1588916224*a(n-36) -39509856000*a(n-37) +2071917568*a(n-38) +578055168*a(n-39) -118431744*a(n-40) -1064960*a(n-41) for n>45

Example

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

Crossrefs

Cf. A276248.

Sequence in context: A184711 A262739 A027487 * A241225 A274956 A116164

Adjacent sequences: A276242 A276243 A276244 * A276246 A276247 A276248

Keyword

nonn

Author

R. H. Hardin, Aug 25 2016

Status

approved