A254721 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2630, 11677, 48168, 185287, 689386, 2473062, 8658471, 29751063, 100670841, 336473119, 1113296226, 3653127707, 11905443852, 38578340182, 124412575639, 399614077574, 1279229985977, 4083348943956, 13002745584653, 41320382225461

Offset

1,1

Comments

Column 1 of A254728

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -23*a(n-2) +39*a(n-3) -74*a(n-4) +97*a(n-5) -70*a(n-6) +157*a(n-7) -7*a(n-8) -240*a(n-9) +137*a(n-10) -1240*a(n-11) +1243*a(n-12) -1518*a(n-13) +3483*a(n-14) -1570*a(n-15) +2216*a(n-16) -460*a(n-17) -3884*a(n-18) +5769*a(n-19) -8541*a(n-20) +9805*a(n-21) -10573*a(n-22) +4169*a(n-23) -2404*a(n-24) -3292*a(n-25) +11130*a(n-26) -11804*a(n-27) +14016*a(n-28) -9264*a(n-29) +6456*a(n-30) -256*a(n-31) -3824*a(n-32) +3584*a(n-33) -6400*a(n-34) +4736*a(n-35) -2624*a(n-36) +1280*a(n-37) -256*a(n-38) for n>42

Example

Some solutions for n=4
..1..0..0....1..0..0....0..1..0....1..0..0....1..0..0....0..0..0....1..0..1
..0..0..0....0..0..1....1..1..0....1..0..1....0..0..1....0..0..1....0..0..1
..0..0..0....0..0..0....0..0..1....1..0..0....0..0..0....1..0..1....0..0..0
..0..1..0....1..1..1....0..1..1....1..1..0....1..0..1....0..1..1....1..0..1
..0..1..0....1..0..1....0..1..1....0..1..0....1..0..0....0..1..0....0..1..0
..0..1..0....1..1..1....0..0..1....1..0..1....0..1..1....1..0..1....0..0..0

Crossrefs

Sequence in context: A254235 A254775 A254728 * A257189 A254989 A254982

Adjacent sequences: A254718 A254719 A254720 * A254722 A254723 A254724

Keyword

nonn

Author

R. H. Hardin, Feb 06 2015

Status

approved