A231378 Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors

7, 48, 378, 2539, 17363, 120124, 830890, 5746499, 39745115, 274872588, 1900931060, 13146313579, 90916738809, 628758673194, 4348344850906, 30072109222833, 207971483025113, 1438280832129012, 9946804915649296, 68789714754091787

Offset

1,1

Comments

Column 4 of A231382

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -31*a(n-2) +82*a(n-3) -131*a(n-4) +226*a(n-5) -319*a(n-6) +206*a(n-7) -574*a(n-8) +483*a(n-9) -432*a(n-10) +517*a(n-11) +132*a(n-12) +746*a(n-13) -145*a(n-14) -228*a(n-15) -6*a(n-16) +41*a(n-17) +3*a(n-18) -3*a(n-19) for n>20

Example

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

Crossrefs

Sequence in context: A341425 A186653 A359916 * A024092 A163713 A192897

Adjacent sequences: A231375 A231376 A231377 * A231379 A231380 A231381

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved