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A209523 Number of nX4 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order 1
15, 700, 107693, 27323948, 9700576474, 4194606038254, 2002617518101082, 999998646599976052, 509185650061380676984, 261448697342101358568952, 134726519599100535344614118, 69532388907494477391456512054 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A209527
LINKS
FORMULA
Empirical: a(n) = 741*a(n-1) -80239*a(n-2) -27206821*a(n-3) +4305035452*a(n-4) +223990610212*a(n-5) -54620780269672*a(n-6) +80102456008496*a(n-7) +269012192646842580*a(n-8) -5707166224378420708*a(n-9) -614361714034268393448*a(n-10) +20349127506784034500304*a(n-11) +678382194937846639652480*a(n-12) -31846630475071645146740528*a(n-13) -302516138167984951194348896*a(n-14) +26095927856414661783174115840*a(n-15) -42282326119900772602090488064*a(n-16) -11829904605301568248908018568000*a(n-17) +95434060058346872198828125007744*a(n-18) +3049598030451163236051411209616896*a(n-19) -40328192983623784101590586927442944*a(n-20) -439535105889627937805745674742651136*a(n-21) +8800995724627097037828678826851591680*a(n-22) +29877440033653195430840885415475181568*a(n-23) -1153471451160086939353282980879345710080*a(n-24) +361417465904520256348084988960166447104*a(n-25) +96388134984267610666941969352759061807104*a(n-26) -237433518884853914547549341361474933817344*a(n-27) -5316540495638084469441833849843792059400192*a(n-28) +20393494451129478050239694172720827330625536*a(n-29) +199181629390484462577756831982634501905514496*a(n-30) -943607730208397458178494653466136607616663552*a(n-31) -5231256737767831422266603443721419521122631680*a(n-32) +27394524698903915462065541938127887707381170176*a(n-33) +99803868178309860951994852593262049142125887488*a(n-34) -524113006115435854526959526490815473303230087168*a(n-35) -1425032472189917422814910850409521554940678373376*a(n-36) +6686272751430261305221763448226565325352171732992*a(n-37) +15273084369730432523206297036506635896548728242176*a(n-38) -56091093092375144843369119047605323562566155239424*a(n-39) -118040785197556405677917396892327617921876131577856*a(n-40) +298630920918555211168409478061760437589237135572992*a(n-41) +608824256895510126291165994808739474478152800010240*a(n-42) -962534419711355112597884657611613718482518636756992*a(n-43) -1905011080779867767627757598039656592066040429543424*a(n-44) +1823172121497981180819938155626702329391913793224704*a(n-45) +3277374088192893278994603970667689592637714126077952*a(n-46) -2092753233712097492555446237792429997925054491394048*a(n-47) -2790425203670748510069753611132555534785277570580480*a(n-48) +1448099586316124905615364077335799871278771548979200*a(n-49) +912421745734027603434708150458948967598456307712000*a(n-50) -462466146321083955411362178920173757818680115200000*a(n-51) for n>52
EXAMPLE
Some solutions for n=5
..0..0..0..1....0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..2..1..2....2..0..2..3....1..2..3..1....1..2..1..2....1..2..1..2
..0..0..0..0....2..1..1..1....2..0..2..1....0..0..1..0....3..1..4..4
..2..1..2..1....0..0..2..0....0..1..2..0....1..2..1..2....5..1..6..7
..2..0..0..0....2..3..0..1....0..2..0..1....0..0..2..3....2..1..5..5
CROSSREFS
Sequence in context: A281764 A209740 A209461 * A117812 A034941 A199227
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 10 2012
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)