A282126 Number of nX3 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 30, 1826, 14952, 137676, 1032030, 7679079, 54233948, 376415512, 2558365766, 17164347665, 113809824996, 747874053666, 4876507733454, 31593219951755, 203546085790772, 1305114658397068, 8333147791741670, 53010440264163137

Offset

1,2

Comments

Column 3 of A282130.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +27*a(n-2) -94*a(n-3) -412*a(n-4) -278*a(n-5) +975*a(n-6) +3434*a(n-7) +6707*a(n-8) +15412*a(n-9) +19348*a(n-10) -28040*a(n-11) -141880*a(n-12) -289800*a(n-13) -384816*a(n-14) -381408*a(n-15) -137472*a(n-16) +808096*a(n-17) +1991216*a(n-18) +2345536*a(n-19) +726976*a(n-20) -2580224*a(n-21) -3660160*a(n-22) -1949440*a(n-23) +888832*a(n-24) +2543616*a(n-25) +829184*a(n-26) -98304*a(n-27) -399360*a(n-28) -147456*a(n-29) -36864*a(n-30) for n>33

Example

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

Crossrefs

Cf. A282130.

Sequence in context: A042743 A042740 A367392 * A112003 A280670 A092608

Adjacent sequences: A282123 A282124 A282125 * A282127 A282128 A282129

Keyword

nonn

Author

R. H. Hardin, Feb 06 2017

Status

approved