A282272 Number of nX4 0..2 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

14, 1085, 75413, 5432319, 390546284, 28094166670, 2020997096826, 145384389616334, 10458519392075406, 752354786617073234, 54122167178607446862, 3893387852005656124550, 280078750787684221558650

Offset

1,1

Comments

Column 4 of A282275.

Links

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

Formula

Empirical: a(n) = 64*a(n-1) +597*a(n-2) -367*a(n-3) -96902*a(n-4) -825487*a(n-5) -335516*a(n-6) +41818036*a(n-7) +195589248*a(n-8) +20115196*a(n-9) -2926462540*a(n-10) -10167505932*a(n-11) -3782860160*a(n-12) +42298431696*a(n-13) +133765825696*a(n-14) +165038913840*a(n-15) +288287793680*a(n-16) +436701117856*a(n-17) +56493123904*a(n-18) +1102863861696*a(n-19) -487645783744*a(n-20) +1264974168448*a(n-21) -848463978496*a(n-22) +890906630400*a(n-23) -429778315776*a(n-24) +160297643008*a(n-25) +46366025728*a(n-26) -225867055104*a(n-27) +60084649984*a(n-28) +5939134464*a(n-29) for n>30

Example

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

Crossrefs

Cf. A282275.

Sequence in context: A297766 A160011 A104226 * A208395 A132504 A178989

Adjacent sequences: A282269 A282270 A282271 * A282273 A282274 A282275

Keyword

nonn

Author

R. H. Hardin, Feb 10 2017

Status

approved