A231519 Number of n X 4 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

7, 107, 865, 7697, 66499, 571226, 4944075, 42759650, 369356733, 3191749214, 27585602947, 238391033438, 2060118342038, 17803462264679, 153856523007378, 1329613892196866, 11490414159104930, 99299276258131228, 858136420916602390

Offset

1,1

Comments

Column 4 of A231523.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +3*a(n-2) +117*a(n-3) -96*a(n-4) -500*a(n-5) -1683*a(n-6) -40*a(n-7) +4807*a(n-8) +6898*a(n-9) -181*a(n-10) -9621*a(n-11) -10107*a(n-12) -734*a(n-13) -9567*a(n-14) -4385*a(n-15) +24373*a(n-16) +1907*a(n-17) -17636*a(n-18) +2087*a(n-19) +6490*a(n-20) +1542*a(n-21) -233*a(n-22) -560*a(n-23) -36*a(n-24) for n > 25.

Example

Some solutions for n=5
..1..0..0..1....0..0..1..1....0..0..1..1....0..0..1..0....0..0..1..1
..1..0..0..1....0..0..0..1....1..0..0..1....0..1..0..1....1..1..0..1
..1..0..0..0....0..1..1..0....0..0..1..0....0..0..1..1....1..0..0..0
..1..0..0..1....0..0..0..1....1..0..0..1....0..0..1..1....1..0..0..0
..0..0..1..1....1..0..1..1....1..0..0..0....0..1..1..1....0..0..1..0

Crossrefs

Cf. A231523.

Sequence in context: A354572 A166547 A156204 * A367157 A197447 A202780

Adjacent sequences: A231516 A231517 A231518 * A231520 A231521 A231522

Keyword

nonn

Author

R. H. Hardin, Nov 10 2013

Status

approved