A253308 Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

518, 1752, 10064, 43220, 214676, 1053094, 5067576, 24964956, 121517288, 593800326, 2903842640, 14172587110, 69281505992, 338377607732, 1653204362744, 8076857699348, 39456901168820, 192770624880630, 941746632689172

Offset

1,1

Comments

Column 2 of A253314

Links

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

Formula

Empirical: a(n) = 24*a(n-2) +26*a(n-3) -145*a(n-4) -44*a(n-5) +763*a(n-6) -580*a(n-7) -2765*a(n-8) +4186*a(n-9) +3958*a(n-10) -7302*a(n-11) +3974*a(n-12) -9774*a(n-13) -79935*a(n-14) -92532*a(n-15) +32984*a(n-16) +44842*a(n-17) -70565*a(n-18) -259996*a(n-19) -339800*a(n-20) +176472*a(n-21) +289353*a(n-22) -165386*a(n-23) +127218*a(n-24) +671288*a(n-25) -342321*a(n-26) -869646*a(n-27) -311851*a(n-28) -183014*a(n-29) -339987*a(n-30) +104102*a(n-31) +281732*a(n-32) +23044*a(n-33) +15954*a(n-34) +21782*a(n-35) -16718*a(n-36) -8444*a(n-37) +732*a(n-38) +1736*a(n-39) for n>41

Example

Some solutions for n=4
..1..0..1....0..2..0....0..1..0....0..2..1....0..1..0....0..0..1....0..2..2
..2..0..2....2..0..1....0..1..2....0..0..1....0..0..2....1..2..0....2..1..0
..0..1..2....2..1..0....2..0..0....0..0..0....1..2..0....0..0..0....0..0..2
..0..2..0....0..0..2....0..0..1....0..2..0....0..0..2....1..2..0....2..1..0
..2..0..0....2..0..2....1..1..0....2..1..2....1..2..0....1..0..1....2..1..2

Crossrefs

Sequence in context: A225913 A233054 A235305 * A043380 A345578 A345835

Adjacent sequences: A253305 A253306 A253307 * A253309 A253310 A253311

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved