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A206833 Number of nX3 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal 1
62, 3844, 205518, 11086238, 594138770, 31871929292, 1709151563122, 91660941819721, 4915627501055508, 263618474002793711, 14137483745254072360, 758173414191897631373, 40659772418623190807112, 2180526385915587703254011 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A206838

LINKS

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

FORMULA

Empirical: a(n) = 60*a(n-1) -83*a(n-2) -17120*a(n-3) +165578*a(n-4) +845922*a(n-5) -22965555*a(n-6) +107365396*a(n-7) +660367228*a(n-8) -8869450194*a(n-9) +21229304430*a(n-10) +141221229268*a(n-11) -618106173021*a(n-12) -1213904703340*a(n-13) +7157660637608*a(n-14) +9022074992762*a(n-15) -59020279082228*a(n-16) -43565118765410*a(n-17) +297129619150489*a(n-18) +229043441576040*a(n-19) -662921582543869*a(n-20) -1503847871764190*a(n-21) -2240858309627354*a(n-22) +8786511381729020*a(n-23) +18501107390039769*a(n-24) -9665594420060202*a(n-25) -68235295408553069*a(n-26) -177076991181296226*a(n-27) +405399171190320325*a(n-28) +532106832980156602*a(n-29) -669039090191535369*a(n-30) -1361470034347745354*a(n-31) -624968395804116753*a(n-32) +5334750363519305876*a(n-33) -590251946995589372*a(n-34) -5644307102112990836*a(n-35) -1244701077523911902*a(n-36) +3583554979207195340*a(n-37) +8831400580524021947*a(n-38) -10699144008062812992*a(n-39) -1980250784360631152*a(n-40) +4294686660553593612*a(n-41) +2071067266394093871*a(n-42) +593423253233248248*a(n-43) -6204773334443977354*a(n-44) +4256108593017637814*a(n-45) +425193658464891513*a(n-46) -1696470814456728016*a(n-47) +1054928802014131701*a(n-48) -951627843973845814*a(n-49) +829201618899094319*a(n-50) -1686888682805780*a(n-51) -435020881761368109*a(n-52) +174725423856955450*a(n-53) +23229371359141753*a(n-54) +12377566402355498*a(n-55) -39325584429719155*a(n-56) +13262484416770326*a(n-57) +6294631990332659*a(n-58) -6574480104303610*a(n-59) +1849185339608986*a(n-60) +219169794772106*a(n-61) -230967991498409*a(n-62) +26607536595848*a(n-63) +14583114719388*a(n-64) -6264064343698*a(n-65) +1516563693247*a(n-66) -20723131866*a(n-67) -100341920239*a(n-68) +43793683688*a(n-69) -6257470853*a(n-70) +574580146*a(n-71) +204266999*a(n-72) -98035070*a(n-73) +20925535*a(n-74) -3940620*a(n-75) +334280*a(n-76) -24694*a(n-77) -1492*a(n-78)

EXAMPLE

Some solutions for n=5

..3..1..1....2..1..1....1..1..3....1..3..2....0..0..3....1..3..2....0..1..0

..3..2..1....2..1..1....1..0..0....3..1..3....0..0..1....2..0..2....3..2..1

..1..1..0....0..2..0....1..0..2....2..2..1....1..1..3....2..1..1....1..0..0

..3..2..3....0..0..0....3..2..1....1..0..2....3..3..3....0..1..1....3..1..3

..3..0..0....2..1..1....1..0..0....0..1..0....0..0..2....2..2..1....0..1..0

CROSSREFS

Sequence in context: A308436 A137219 A065991 * A206841 A206895 A207285

Adjacent sequences:  A206830 A206831 A206832 * A206834 A206835 A206836

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 13 2012

STATUS

approved

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Last modified January 22 00:08 EST 2022. Contains 350481 sequences. (Running on oeis4.)