A232050 Number of 4Xn 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

16, 65, 446, 3082, 22063, 153562, 1060850, 7322233, 50611921, 350063149, 2421230532, 16745004894, 115803439202, 800864168388, 5538580113288, 38303510063492, 264897950563469, 1831970665295301, 12669468933770841

Offset

1,1

Comments

Row 4 of A232047

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -115*a(n-2) +565*a(n-3) -2034*a(n-4) +5817*a(n-5) -13565*a(n-6) +26712*a(n-7) -45206*a(n-8) +66931*a(n-9) -89161*a(n-10) +109246*a(n-11) -128417*a(n-12) +138117*a(n-13) -133354*a(n-14) +106727*a(n-15) -71595*a(n-16) +45288*a(n-17) -14520*a(n-18) -13147*a(n-19) +45149*a(n-20) -49440*a(n-21) +35999*a(n-22) -13855*a(n-23) +8496*a(n-24) +5713*a(n-25) +1489*a(n-26) -5200*a(n-27) -450*a(n-28) +1011*a(n-29) +205*a(n-30) -126*a(n-31) -24*a(n-32) +9*a(n-33) for n>36

Example

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

Crossrefs

Sequence in context: A044154 A044535 A034720 * A119285 A253673 A041494

Adjacent sequences: A232047 A232048 A232049 * A232051 A232052 A232053

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved