A254086 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

3436, 37961, 438463, 5146916, 60605766, 710699434, 8345076092, 97946001730, 1149838343317, 13497707804263, 158452634496858, 1860069243627167, 21835461223405598, 256327049629318759, 3009034132382588682

Offset

1,1

Comments

Column 2 of A254092

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +14*a(n-2) -370*a(n-3) +535*a(n-4) -2211*a(n-5) +28*a(n-6) +48312*a(n-7) -161056*a(n-8) +1516016*a(n-9) -379040*a(n-10) -19193248*a(n-11) +14433408*a(n-12) +16606720*a(n-13) +34860032*a(n-14) +140758528*a(n-15) -147872000*a(n-16) +159309056*a(n-17) -706368512*a(n-18) -1944000512*a(n-19) +404029440*a(n-20) +2386694144*a(n-21) +4369858560*a(n-22) +3792044032*a(n-23) +2777088000*a(n-24) -5816188928*a(n-25) -12009340928*a(n-26) -25561137152*a(n-27) -15623782400*a(n-28) +40869298176*a(n-29) +11760828416*a(n-30) +34292629504*a(n-31) +26306674688*a(n-32) -31138512896*a(n-33) -85899345920*a(n-35) -17179869184*a(n-36) +68719476736*a(n-37) for n>42

Example

Some solutions for n=2
..1..0..0..1....0..1..1..1....0..0..0..0....0..0..1..1....0..0..0..0
..1..0..1..0....0..1..1..0....0..1..1..0....0..1..1..1....0..0..1..0
..1..0..0..0....1..1..1..1....0..0..1..0....1..0..0..1....1..0..1..0
..1..1..1..1....1..0..0..0....1..0..1..1....0..0..1..0....0..0..1..0

Crossrefs

Sequence in context: A046253 A031824 A254093 * A324679 A324680 A273341

Adjacent sequences: A254083 A254084 A254085 * A254087 A254088 A254089

Keyword

nonn

Author

R. H. Hardin, Jan 25 2015

Status

approved