A238067 Number of (n+1)X(3+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

10700, 157404, 2296588, 27034844, 363809888, 4856507148, 69678083388, 867711409148, 11916017498904, 155815394620052, 2205781125919780, 27880307629153828, 386503174835518608, 5001057376641512076

Offset

1,1

Comments

Column 3 of A238072

Links

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

Formula

Empirical: a(n) = 46*a(n-2) +23413*a(n-4) +157518*a(n-6) -14425114*a(n-8) +147658964*a(n-10) -912524091*a(n-12) -13078669110*a(n-14) +75617461530*a(n-16) +214100144028*a(n-18) +3801703219484*a(n-20) -36763368990878*a(n-22) -20415075634279*a(n-24) +1165217484319538*a(n-26) -365748668638478*a(n-28) -13790074921114610*a(n-30) +8063430975950772*a(n-32) +20206731376536692*a(n-34) +24371023183076676*a(n-36) +72192731337390508*a(n-38) -98254084410768992*a(n-40) -325170819926263664*a(n-42) -279444025576236656*a(n-44) -84507882070028832*a(n-46) -162339280378378560*a(n-48) -114678593307064448*a(n-50) +19317461315355136*a(n-52) +5208079068487680*a(n-54) +1622741398323200*a(n-56) +109417756819456*a(n-58) -8688971022336*a(n-60) for n>63

Example

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

Crossrefs

Sequence in context: A207282 A207478 A207534 * A184603 A247854 A117090

Adjacent sequences: A238064 A238065 A238066 * A238068 A238069 A238070

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved