A237467 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1566, 14968, 143780, 1417638, 13827553, 133796732, 1299276552, 12704622556, 123775917000, 1201726394292, 11695395424682, 114007073462584, 1110333740926480, 10795061721131784, 105114008441755394

Offset

1,1

Comments

Column 3 of A237472

Links

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

Formula

Empirical: a(n) = 11472*a(n-4) +172112*a(n-6) -37812530*a(n-8) -663246916*a(n-10) +50790367905*a(n-12) +761249798874*a(n-14) -32146054966276*a(n-16) -304708758684614*a(n-18) +10280551182576974*a(n-20) +42771666374352040*a(n-22) -1553497063233844858*a(n-24) -828101546375673368*a(n-26) +87626137555977865892*a(n-28) -29987331542118181888*a(n-30) -1405332522160731301316*a(n-32) -1307281040320640878576*a(n-34) -237276306341894545984*a(n-36) +504331457024995714736*a(n-38) +177295360720400834304*a(n-40) -369616840240934837504*a(n-42) -165061762109697469568*a(n-44) +29876592672185867904*a(n-46) -3071609549828566656*a(n-48) -5910185367238840832*a(n-50) +847309509009157632*a(n-52) +179582648095481856*a(n-54) +5899795247923200*a(n-56)

Example

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

Crossrefs

Sequence in context: A243528 A237673 A246734 * A035890 A252109 A045276

Adjacent sequences: A237464 A237465 A237466 * A237468 A237469 A237470

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved