A231511 Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors

7, 35, 343, 2594, 19435, 158061, 1275558, 10130742, 80645991, 644138583, 5141424819, 41009984366, 327171549228, 2610484687685, 20827940802558, 166172751159890, 1325800949505053, 10577890893407074, 84395372286805883

Offset

1,1

Comments

Column 4 of A231515

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +a(n-2) +66*a(n-3) +16*a(n-4) -688*a(n-5) -1519*a(n-6) -243*a(n-7) +3817*a(n-8) +9568*a(n-9) +11323*a(n-10) -4815*a(n-11) -11010*a(n-12) +5346*a(n-13) -9020*a(n-14) +3369*a(n-15) -43463*a(n-16) -80095*a(n-17) +156012*a(n-18) -141075*a(n-19) -90111*a(n-20) +92604*a(n-21) -71878*a(n-22) -10653*a(n-23) -42041*a(n-24) +104182*a(n-25) +1528*a(n-26) +9930*a(n-27) +17328*a(n-28) +4524*a(n-29) -2101*a(n-30) -330*a(n-31) +292*a(n-32) -104*a(n-33) -24*a(n-34) for n>35

Example

Some solutions for n=6
..0..0..0..0....0..0..1..1....0..0..0..1....0..0..1..0....0..0..1..1
..0..0..0..0....1..0..0..0....0..0..0..0....0..1..0..0....0..0..0..0
..1..0..0..0....1..1..0..0....0..0..1..0....0..0..0..1....1..1..0..0
..1..0..0..1....1..0..1..1....1..0..0..0....0..0..1..1....1..1..0..0
..0..0..0..0....0..0..0..1....0..0..0..1....1..1..0..0....0..0..1..0
..0..1..0..0....1..0..0..0....1..0..1..1....1..1..0..0....0..0..0..1

Crossrefs

Sequence in context: A165505 A165639 A073109 * A078235 A364454 A197555

Adjacent sequences: A231508 A231509 A231510 * A231512 A231513 A231514

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved