A279653 Number of n X 4 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

3, 254, 19986, 1546164, 113887852, 8077041000, 556408163556, 37457887289336, 2475063602243692, 161033052066607312, 10341609321194984548, 656795933001598619272, 41314014972678751555708, 2577025130164511073800128

Offset

1,1

Comments

Column 4 of A279657.

Links

R. H. Hardin, Table of n, a(n) for n = 1..182

Formula

Empirical: a(n) = 195*a(n-1) -14439*a(n-2) +510857*a(n-3) -9404160*a(n-4) +106784040*a(n-5) -833918604*a(n-6) +4796401344*a(n-7) -21251872752*a(n-8) +74762385456*a(n-9) -213091249728*a(n-10) +498565926912*a(n-11) -964790488640*a(n-12) +1548742980096*a(n-13) -2059877167104*a(n-14) +2258077614080*a(n-15) -2020948979712*a(n-16) +1456042672128*a(n-17) -828450537472*a(n-18) +363079925760*a(n-19) -118689103872*a(n-20) +27709669376*a(n-21) -4328521728*a(n-22) +402653184*a(n-23) -16777216*a(n-24) for n > 25.

Example

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

Crossrefs

Cf. A279657.

Sequence in context: A028918 A213409 A227028 * A320023 A364876 A045824

Adjacent sequences: A279650 A279651 A279652 * A279654 A279655 A279656

Keyword

nonn

Author

R. H. Hardin, Dec 16 2016

Status

approved