A279130 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

3, 34, 256, 1324, 6396, 30074, 129264, 535814, 2150797, 8418336, 32296969, 121849424, 453295302, 1666387390, 6063302940, 21865526486, 78234877789, 277985152886, 981636776095, 3447186735368, 12044802324840, 41894649008470

Offset

1,1

Comments

Column 4 of A279134.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -108*a(n-2) +401*a(n-3) -893*a(n-4) +1179*a(n-5) -600*a(n-6) -1173*a(n-7) +3468*a(n-8) -5018*a(n-9) +6446*a(n-10) -8766*a(n-11) +8587*a(n-12) -1891*a(n-13) -12870*a(n-14) +29298*a(n-15) -31377*a(n-16) +26556*a(n-17) -29210*a(n-18) +21407*a(n-19) +1380*a(n-20) -39341*a(n-21) +76349*a(n-22) -59868*a(n-23) +31048*a(n-24) -37732*a(n-25) +23625*a(n-26) +13127*a(n-27) -35339*a(n-28) +40641*a(n-29) -26406*a(n-30) +5772*a(n-31) +6474*a(n-32) -9682*a(n-33) +6694*a(n-34) -2802*a(n-35) +369*a(n-36) +540*a(n-37) -513*a(n-38) +299*a(n-39) -116*a(n-40) +36*a(n-41) -7*a(n-42) +a(n-43) for n>50

Example

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

Crossrefs

Cf. A279134.

Sequence in context: A042041 A180775 A243011 * A266696 A141789 A121077

Adjacent sequences: A279127 A279128 A279129 * A279131 A279132 A279133

Keyword

nonn

Author

R. H. Hardin, Dec 06 2016

Status

approved