A232045 Number of nX6 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

21, 184, 5364, 153562, 4588174, 136134243, 4041385884, 119990644449, 3562337669985, 105762437152368, 3139973158165990, 93222494384394215, 2767677519549496896, 82169423941902553632, 2439523490954376368513

Offset

1,1

Comments

Column 6 of A232047

Links

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

Formula

Empirical: a(n) = 21*a(n-1) +314*a(n-2) -1045*a(n-3) -19776*a(n-4) +25231*a(n-5) +515946*a(n-6) -435697*a(n-7) -6637658*a(n-8) +7103608*a(n-9) +30185726*a(n-10) -21604276*a(n-11) -75687442*a(n-12) +24802802*a(n-13) +110712267*a(n-14) -9086579*a(n-15) -102117142*a(n-16) -7051224*a(n-17) +60433119*a(n-18) +10059839*a(n-19) -21510561*a(n-20) -4142240*a(n-21) +4134848*a(n-22) +562752*a(n-23) -331776*a(n-24) for n>26

Example

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

Crossrefs

Sequence in context: A059721 A054370 A219171 * A302162 A302634 A302426

Adjacent sequences: A232042 A232043 A232044 * A232046 A232047 A232048

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved