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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
1
10700, 157404, 2296588, 27034844, 363809888, 4856507148, 69678083388, 867711409148, 11916017498904, 155815394620052, 2205781125919780, 27880307629153828, 386503174835518608, 5001057376641512076
OFFSET
1,1
COMMENTS
Column 3 of A238072
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 17 2014
STATUS
approved