A238076 Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

9884, 132316, 1781008, 19616408, 242829762, 2981477664, 39928365220, 464223535984, 5897707478324, 71387175302572, 942327270324172, 11084134008458300, 142393156886280476, 1709380475111268484

Offset

1,1

Comments

Column 3 of A238081

Links

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

Formula

Empirical: a(n) = 34*a(n-2) +18283*a(n-4) +141114*a(n-6) -12910117*a(n-8) +14125360*a(n-10) +463818473*a(n-12) -7662186496*a(n-14) +19576186983*a(n-16) +194263482873*a(n-18) -2813916219997*a(n-20) +3440012097752*a(n-22) +40169200438949*a(n-24) -228392835488837*a(n-26) +276370071877258*a(n-28) +812617005002867*a(n-30) -4063453792653054*a(n-32) +2576412044215823*a(n-34) +11746089680694760*a(n-36) -20923169353248781*a(n-38) +2505623964080160*a(n-40) +22093450622115239*a(n-42) -29503791347615263*a(n-44) -2889242838806356*a(n-46) +22367048939386588*a(n-48) -9679702243656946*a(n-50) -9108522817595352*a(n-52) +1647268110309820*a(n-54) -409259228435168*a(n-56) -61960199779984*a(n-58) +2501255248992*a(n-60) for n>63

Example

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

Crossrefs

Sequence in context: A257299 A208646 A001230 * A103810 A277944 A237917

Adjacent sequences: A238073 A238074 A238075 * A238077 A238078 A238079

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved