A253354 Number of (5+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

907, 13917, 199512, 3013228, 44555528, 665370612, 9895936900, 147440625572, 2195170751588, 32693166021572, 486848982960612, 7250310539066372, 107971923825192356, 1607939749592771012, 23945699545057341924

Offset

1,1

Comments

Row 5 of A253350

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -406*a(n-2) +404*a(n-3) +23747*a(n-4) -145816*a(n-5) -129968*a(n-6) +3736568*a(n-7) -7902612*a(n-8) -29701104*a(n-9) +128249776*a(n-10) +34934976*a(n-11) -780114560*a(n-12) +607369728*a(n-13) +2210927104*a(n-14) -3052507136*a(n-15) -2863537152*a(n-16) +5709414400*a(n-17) +1514283008*a(n-18) -4781309952*a(n-19) -281149440*a(n-20) +1658847232*a(n-21) +94371840*a(n-22) -150994944*a(n-23) for n>26

Example

Some solutions for n=3
..0..0..1..0....0..1..1..0....0..1..1..1....0..1..1..0....0..0..0..0
..1..0..1..1....0..0..1..0....0..1..0..0....0..1..1..1....1..1..1..1
..1..0..1..0....0..0..1..1....0..1..1..1....1..1..1..1....1..1..0..1
..1..1..1..1....0..0..1..0....0..1..1..1....0..1..1..0....1..1..1..1
..0..1..0..0....1..1..1..1....0..1..1..0....1..1..1..1....0..1..1..1
..1..1..0..1....1..0..1..0....0..1..0..1....0..0..1..0....1..1..1..0

Crossrefs

Sequence in context: A316679 A177998 A253347 * A204613 A204797 A303887

Adjacent sequences: A253351 A253352 A253353 * A253355 A253356 A253357

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved