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A209845
Number of (n+1)X6 0..3 arrays with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in row major order
1
8123, 715307, 64857323, 6168792219, 595515461627, 57996585929227, 5674369527018763, 556706129632258475, 54709099491719344107, 5382055510340841935851, 529817518772971868145387
OFFSET
1,1
COMMENTS
Column 5 of A209848
LINKS
FORMULA
Empirical: a(n) = 223*a(n-1) -16175*a(n-2) +333859*a(n-3) +9171561*a(n-4) -425242479*a(n-5) +693710971*a(n-6) +161486863949*a(n-7) -1475551022652*a(n-8) -27865453094464*a(n-9) +411423026735736*a(n-10) +2219874285551176*a(n-11) -55658326952391880*a(n-12) -36672282912577248*a(n-13) +4395265143027791120*a(n-14) -7555217898067289496*a(n-15) -220424722751437565016*a(n-16) +708740451169041114912*a(n-17) +7370084221594588613424*a(n-18) -32339860483036642598592*a(n-19) -168530209053002435663904*a(n-20) +936812779773450938868224*a(n-21) +2642855316304854396118720*a(n-22) -18715488567630894450654592*a(n-23) -27472172546451820502458112*a(n-24) +268022858676750241561673216*a(n-25) +162950499399519898498751232*a(n-26) -2808765207968050863945458688*a(n-27) -49471709803971865187176448*a(n-28) +21774673081608046584375029760*a(n-29) -8998227402678417097333478400*a(n-30) -125431619657959886331737444352*a(n-31) +93687752847328791095550070784*a(n-32) +536479435921838898006754967552*a(n-33) -549614260424646029255096614912*a(n-34) -1693398692148090451777893171200*a(n-35) +2166425771093637945125752602624*a(n-36) +3893649542776241227342317355008*a(n-37) -6029664436570554686166090645504*a(n-38) -6361043711060989783077333499904*a(n-39) +12040057186303971555099777433600*a(n-40) +7016919022564616606584512970752*a(n-41) -17259291576535507977088989659136*a(n-42) -4570925557827729604857032605696*a(n-43) +17587140735069580470774635954176*a(n-44) +764365413232018874812935962624*a(n-45) -12491242705025707087031177314304*a(n-46) +1408210287098130144028902031360*a(n-47) +5997551919805635046752510803968*a(n-48) -1329515975696725414894169489408*a(n-49) -1863857265638179678020068966400*a(n-50) +547108429772846613377035796480*a(n-51) +353189996395406454860564922368*a(n-52) -117801254695507003051819925504*a(n-53) -37321328417622966875887501312*a(n-54) +12758180005724856234398449664*a(n-55) +1870234589327458736214638592*a(n-56) -593761192111663779818766336*a(n-57) -25884281547576941708574720*a(n-58) +7740585278261102326579200*a(n-59)
EXAMPLE
Some solutions for n=4
..0..1..2..0..2..2....0..1..0..0..0..1....0..0..0..1..0..2....0..0..1..0..1..0
..1..1..2..2..0..2....0..0..0..1..0..0....3..3..0..0..0..0....0..0..0..1..1..1
..3..1..1..2..0..2....0..1..1..1..1..0....0..3..0..0..3..3....0..1..1..0..0..0
..3..1..1..2..0..0....0..0..1..0..0..0....3..3..3..3..0..3....0..0..0..0..1..0
..1..3..1..2..0..1....0..0..1..0..0..2....0..0..0..0..3..0....1..0..2..0..0..0
CROSSREFS
Sequence in context: A069368 A068758 A126602 * A025288 A025306 A151946
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 14 2012
STATUS
approved