A253726 Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally and vertically

518, 6530, 83884, 1076964, 13552198, 172901292, 2184376310, 27787898426, 351770175332, 4468694386686, 56626555767842, 718835840302596, 9113636912143270, 115649322205892360, 1466619710908899064

Offset

1,1

Comments

Column 2 of A253731

Links

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

Formula

Empirical: a(n) = 112*a(n-2) +500*a(n-3) +1749*a(n-4) -2404*a(n-5) -2485*a(n-6) -32086*a(n-7) -37905*a(n-8) +118470*a(n-9) +292997*a(n-10) +1294388*a(n-11) +548232*a(n-12) +1175220*a(n-13) -1625769*a(n-14) -3193684*a(n-15) +1879940*a(n-16) -18568634*a(n-17) -92745648*a(n-18) -264531330*a(n-19) -402229438*a(n-20) -407881862*a(n-21) -89778686*a(n-22) +162012970*a(n-23) +375344358*a(n-24) +164943714*a(n-25) +199780553*a(n-26) -327932748*a(n-27) -322702602*a(n-28) -492824270*a(n-29) +219050369*a(n-30) +277065842*a(n-31) +560894622*a(n-32) +205464382*a(n-33) +36455168*a(n-34) -214458562*a(n-35) -191150845*a(n-36) -107640448*a(n-37) -39881431*a(n-38) -3772082*a(n-39) -9578098*a(n-40) -85940*a(n-41) -4202064*a(n-42) +221568*a(n-43) -226944*a(n-44) for n>46

Example

Some solutions for n=3
..2..0..0....1..0..2....2..0..2....2..1..0....1..1..2....2..0..0....1..1..0
..2..1..0....0..1..2....0..0..2....1..2..1....2..0..2....2..0..2....2..1..2
..0..1..0....2..0..1....2..0..1....0..1..2....1..1..0....1..1..0....2..1..0
..1..0..0....1..2..2....1..2..2....2..0..1....2..1..1....2..0..2....1..1..1

Crossrefs

Sequence in context: A233922 A236659 A236642 * A293085 A173791 A345587

Adjacent sequences: A253723 A253724 A253725 * A253727 A253728 A253729

Keyword

nonn

Author

R. H. Hardin, Jan 10 2015

Status

approved