A282053 Number of nX4 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

14, 600, 2754, 31752, 237031, 2109626, 17495647, 148941378, 1259597639, 10659570010, 90288988391, 764160692138, 6470707967860, 54779218426850, 463791904778661, 3926599577255108, 33243995570950827, 281455789744141746

Offset

1,1

Comments

Column 4 of A282056.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +31*a(n-2) -129*a(n-3) -366*a(n-4) +1143*a(n-5) -381*a(n-6) -3434*a(n-7) +10193*a(n-8) +1529*a(n-9) -26235*a(n-10) -4019*a(n-11) +84550*a(n-12) -61760*a(n-13) -100423*a(n-14) +18242*a(n-15) +358035*a(n-16) -324592*a(n-17) -165217*a(n-18) -91722*a(n-19) +1174997*a(n-20) -1037441*a(n-21) -119357*a(n-22) -296586*a(n-23) +1583551*a(n-24) -1179774*a(n-25) -97344*a(n-26) -132495*a(n-27) +1151683*a(n-28) -795766*a(n-29) -418852*a(n-30) +1129953*a(n-31) -1226404*a(n-32) +810606*a(n-33) -301118*a(n-34) +18192*a(n-35) +97120*a(n-36) -87904*a(n-37) +47808*a(n-38) -21248*a(n-39) +5568*a(n-40) -640*a(n-41) for n>45

Example

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

Crossrefs

Cf. A282056.

Sequence in context: A205327 A291121 A279294 * A209678 A280676 A209103

Adjacent sequences: A282050 A282051 A282052 * A282054 A282055 A282056

Keyword

nonn

Author

R. H. Hardin, Feb 05 2017

Status

approved