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 A204406 Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally 1

%I #5 Mar 31 2012 12:37:01

%S 852798050,5787193185,30090522927,415155518470,2236958307511,

%T 17377299440327,293407168633797,2568739429600605,25115315698045962,

%U 337200167095647328,2968713715591113900,28077687133233820020

%N Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

%C Column 6 of A204408

%H R. H. Hardin, <a href="/A204406/b204406.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1459*a(n-3) +2366*a(n-4) +4905*a(n-5) -515646*a(n-6) -1607138*a(n-7) -2202094*a(n-8) -4110318*a(n-9) +162028512*a(n-10) +366225958*a(n-11) +718775292*a(n-12) -66600742014*a(n-13) -153486420156*a(n-14) +1655521427229*a(n-15) +17970237828009*a(n-16) +23821132634388*a(n-17) -112686969715542*a(n-18) -676177488422334*a(n-19) +4100768303467491*a(n-20) -8837999623483074*a(n-21) +9973376741288259*a(n-22) +146223078038379324*a(n-23) +330499022115748527*a(n-24) -2632592972639513889*a(n-25) +2712483840714109704*a(n-26) -27374439390847968438*a(n-27) -7117557447099858696*a(n-28) +77610504325477633803*a(n-29) -284769400926208531959*a(n-30) +565415370764128281393*a(n-31) +2097090104783086853820*a(n-32) -33090252316483791150423*a(n-33) +13697705447688571181478*a(n-34) +57800125880156623287096*a(n-35) +41362452655004342348118*a(n-36) +717541339516262395277139*a(n-37) +7673300421221730489651369*a(n-38) -4928302336718148492197034*a(n-39) +19526353697085908671430469*a(n-40) -9922388355572566285323441*a(n-41) -270449396797813351026236226*a(n-42) -148146791771549825148624129*a(n-43) +505093348327976091048354903*a(n-44) +307799592787273529820434238*a(n-45) +4516494725471652549068003379*a(n-46) -10197817523553152200591645281*a(n-47) -27370367585766677358581061582*a(n-48) -12146899478233386798857559438*a(n-49) +205541001304787737692970516917*a(n-50) -107232314570827358784946901631*a(n-51) -465790305049119029992374957726*a(n-52) +562490618750807508268468482825*a(n-53) -77096425007529328466203933743*a(n-54) -5234166237285904783114056890700*a(n-55) -8669028361948191033134838664257*a(n-56) +23756841971677955145689619616674*a(n-57) +17642302534202491294061763421782*a(n-58) +55744771771634376385156593811131*a(n-59) -253096171240869987267710406281040*a(n-60) -39837276045658582312443370412400*a(n-61) +974886585348386731702673847986064*a(n-62) -201343016202980975694286762603824*a(n-63) +248413537454591148955208608317300*a(n-64) -185259777277047423306581063306016*a(n-65) +402869734023362593585406002736796*a(n-66) -837048556141506525427065068747832*a(n-67) -1224285528696453953562227079445488*a(n-68) +3054212619775196794500217969305648*a(n-69) -253068122469288811207796677194192*a(n-70) -18822307861524061750316475548448*a(n-71) +825548007064056463999171416436848*a(n-72) +818714214649107505313683638249456*a(n-73) -3773797555353622069639212897744384*a(n-74) +765431875398726659705095198780416*a(n-75) -415551854039348430085678691192064*a(n-76) -284100186443846383963763966621952*a(n-77) -28135168751550902480598379368960*a(n-78) -2858175873173425013902057586688*a(n-79) for n>91

%e Some solutions for n=3

%e ..0..2..2..0..0..0..2..2....2..1..1..1..0..1..1..0....1..1..1..0..0..1..0..1

%e ..0..2..2..1..0..1..2..1....2..0..1..2..1..0..1..1....1..1..0..1..2..0..1..1

%e ..0..1..2..2..1..0..1..2....0..1..2..0..2..1..0..2....0..1..2..2..0..1..2..2

%e ..2..0..1..2..2..1..2..2....1..2..0..1..2..2..1..0....0..0..1..2..1..2..1..1

%e ..2..1..0..1..2..2..0..2....2..1..2..2..1..1..2..1....2..0..0..1..2..0..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified June 1 13:57 EDT 2023. Contains 363069 sequences. (Running on oeis4.)