A253323 Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

676, 2797, 11506, 23153, 58505, 98741, 210417, 349857, 705922, 1217364, 2426173, 4388311, 8749975, 16462924, 32895785, 63545030, 127119746, 249438950, 499146913, 988089345, 1977131937, 3932608792, 7867888425, 15689851768

Offset

1,1

Comments

Column 5 of A253326

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +2*a(n-2) -26*a(n-3) +16*a(n-4) +62*a(n-5) -70*a(n-6) -62*a(n-7) +109*a(n-8) +14*a(n-9) -76*a(n-10) +16*a(n-11) +20*a(n-12) -8*a(n-13) for n>22

Example

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

Crossrefs

Sequence in context: A185794 A253330 A255076 * A281405 A204036 A235410

Adjacent sequences: A253320 A253321 A253322 * A253324 A253325 A253326

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved