A237906 Number of (n+1)X(2+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1780, 22128, 271292, 3324618, 40005364, 490622010, 6035315040, 73714662652, 894960497360, 10958078831604, 134325748353732, 1639221669232544, 19979775426322132, 244455206135565428, 2990775177779198728

Offset

1,1

Comments

Column 2 of A237911

Links

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

Formula

Empirical: a(n) = 490*a(n-3) +12320*a(n-4) +32334*a(n-5) +174761*a(n-6) +728620*a(n-7) -4478227*a(n-8) -7207644*a(n-9) -27000775*a(n-10) -86386386*a(n-11) +547827458*a(n-12) +554856222*a(n-13) +536708856*a(n-14) +1329549296*a(n-15) -23669830297*a(n-16) -6434035554*a(n-17) +56696777905*a(n-18) -15832476910*a(n-19) +164427921697*a(n-20) +62206824756*a(n-21) -828346221747*a(n-22) -204063315132*a(n-23) +1304893695215*a(n-24) +680120199232*a(n-25) -1013570261870*a(n-26) -1248410862186*a(n-27) +90792816132*a(n-28) +976633774310*a(n-29) +607888452553*a(n-30) -146598881908*a(n-31) -552981695101*a(n-32) -391639304456*a(n-33) -26300252816*a(n-34) +231598966342*a(n-35) +224335145560*a(n-36) +43215570986*a(n-37) -60284011665*a(n-38) -57945132090*a(n-39) -18549813839*a(n-40) +6197072112*a(n-41) +6419665863*a(n-42) +2191120924*a(n-43) +363299396*a(n-44) -86845568*a(n-45) -25033872*a(n-46)

Example

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

Crossrefs

Sequence in context: A233953 A282404 A167282 * A187524 A253057 A204637

Adjacent sequences: A237903 A237904 A237905 * A237907 A237908 A237909

Keyword

nonn

Author

R. H. Hardin, Feb 15 2014

Status

approved