A231526 Number of 4Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

16, 48, 776, 7697, 70462, 680302, 6935963, 69699237, 689683944, 6830674791, 67982605070, 676834294963, 6729716953557, 66892941751789, 665135148008789, 6614505307422976, 65773605302169012, 654010196878214180

Offset: 1

Author

R. H. Hardin, Nov 10 2013

Keywords

• nonn

Comments

Row 4 of A231523

Examples

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

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -23*a(n-2) +101*a(n-3) +734*a(n-4) -4730*a(n-5) -1987*a(n-6) -2442*a(n-7) -84415*a(n-8) +350229*a(n-9) +552203*a(n-10) -823403*a(n-11) +1850494*a(n-12) -4878983*a(n-13) -13339933*a(n-14) [phone]*a(n-15) -15634346*a(n-16) [phone]*a(n-17) [phone]*a(n-18) -108237346*a(n-19) [phone]*a(n-20) -18919194*a(n-21) -670476969*a(n-22) [phone]*a(n-23) [phone]*a(n-24) [phone]*a(n-25) [phone]*a(n-26) [phone]*a(n-27) -177024291*a(n-28) -10977187*a(n-29) -706370171*a(n-30) -253074527*a(n-31) [phone]*a(n-32) [phone]*a(n-33) [phone]*a(n-34) [phone]*a(n-35) -27812168*a(n-36) -32459184*a(n-37) -15021208*a(n-38) -1420800*a(n-39) for n>40