A237774 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1176, 7220, 44224, 241036, 1618456, 10751680, 75418228, 465173744, 3176256972, 21049234848, 147328887252, 921968552116, 6322252216966, 41542722431956, 289897758698800, 1827881244483108, 12568775829371758, 82064904769569132

Offset

1,1

Comments

Column 3 of A237779

Links

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

Formula

Empirical: a(n) = 1890*a(n-4) +11436*a(n-6) -297317*a(n-8) -1964276*a(n-10) +14369445*a(n-12) +101694144*a(n-14) -182013563*a(n-16) -1485295098*a(n-18) +1261787279*a(n-20) +7944769616*a(n-22) -6190719967*a(n-24) -10223487242*a(n-26) +8861140786*a(n-28) +4411410330*a(n-30) -7175325372*a(n-32) +2763746512*a(n-34) +683460326*a(n-36) -1158240208*a(n-38) +99695884*a(n-40) +172729392*a(n-42) -44372896*a(n-44) +3735360*a(n-46) +487680*a(n-48) -9216*a(n-50) for n>55

Example

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

Crossrefs

Sequence in context: A204755 A202199 A233870 * A223340 A270147 A270114

Adjacent sequences: A237771 A237772 A237773 * A237775 A237776 A237777

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved