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A208049 Number of nX7 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors) 2
122, 2048, 41932, 931968, 21472544, 502504448, 11838995200, 279733684992, 6617787903744, 156641740131072, 3708483510235904, 87806041737925888, 2079067090247547648, 49228778299543155968, 1165660962446546688768 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A208050
LINKS
FORMULA
Empirical: a(n) = 75*a(n-1) -2554*a(n-2) +55718*a(n-3) -900373*a(n-4) +11540175*a(n-5) -120646224*a(n-6) +1032906704*a(n-7) -7143273200*a(n-8) +38487096736*a(n-9) -148139743168*a(n-10) +301384072128*a(n-11) +434395534080*a(n-12) -4212812674816*a(n-13) -6055937053184*a(n-14) +188862038718976*a(n-15) -1113928611287040*a(n-16) +3311133232840704*a(n-17) -2101437137223680*a(n-18) -32416286559526912*a(n-19) +220131231030444032*a(n-20) -992034773109800960*a(n-21) +3717529494924165120*a(n-22) -11794027245416480768*a(n-23) +31236993687432921088*a(n-24) -70339147326082842624*a(n-25) +154801537571326263296*a(n-26) -448746548849001103360*a(n-27) +1717656393065237053440*a(n-28) -6299441128934805078016*a(n-29) +18664452298317869613056*a(n-30) -42448339422308433133568*a(n-31) +70184786763815892025344*a(n-32) -64759214749331813826560*a(n-33) -65052874836065503936512*a(n-34) +487617470914554383826944*a(n-35) -1485610864045675360813056*a(n-36) +3640029148467676101738496*a(n-37) -8283595658363681883815936*a(n-38) +17664539130299538596691968*a(n-39) -33111040019545470867079168*a(n-40) +49915764398968934926123008*a(n-41) -53360782694992243014500352*a(n-42) +27154724025092859785904128*a(n-43) +27407517485303035101970432*a(n-44) -87711501058877861501337600*a(n-45) +139238385451601130420174848*a(n-46) -222221580176017612232196096*a(n-47) +397056573879679769567559680*a(n-48) -556634782068810820628774912*a(n-49) +453347182355485940514816000*a(n-50) -154742504910672534362390528*a(n-51) for n>52
EXAMPLE
Some solutions for n=4
..0..1..2..3..1..2..3....0..1..2..3..0..1..2....0..1..0..1..2..3..2
..2..0..1..0..3..1..0....2..0..1..2..3..0..1....2..3..2..0..1..0..3
..3..2..3..2..0..2..1....3..2..3..0..1..2..3....0..1..3..2..3..1..2
..0..1..0..1..3..0..2....0..1..2..3..0..1..0....2..0..1..0..2..3..0
CROSSREFS
Sequence in context: A274726 A249532 A222991 * A276252 A259528 A192870
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 22 2012
STATUS
approved

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Last modified September 1 20:02 EDT 2024. Contains 375594 sequences. (Running on oeis4.)