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A204880
Number of (n+2) X 3 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..3 introduced in row major order.
1
3348, 91703, 2604782, 61994345, 1609422202, 43272008917, 1093785287286, 28171869515568, 739117052027915, 19015612616935859, 490455315815506569, 12749198525042431006, 329530231007321036517, 8513765514392601907380
OFFSET
1,1
COMMENTS
Column 1 of A204884.
LINKS
FORMULA
Empirical: a(n) = 21*a(n-1) +41*a(n-2) +5956*a(n-3) -85399*a(n-4) -571671*a(n-5) +5746493*a(n-6) +38113234*a(n-7) -109469317*a(n-8) -1609753913*a(n-9) -2190299685*a(n-10) +31312264804*a(n-11) +147518016342*a(n-12) -128445838170*a(n-13) -2974271197697*a(n-14) -4641165047679*a(n-15) +27361002602986*a(n-16) +84231288799387*a(n-17) -118013048926211*a(n-18) -730255999037406*a(n-19) +494614648616336*a(n-20) +4781329076777116*a(n-21) -4305828883739700*a(n-22) -29040024909616240*a(n-23) +11939404196138785*a(n-24) +129458871076161445*a(n-25) +204725659695717740*a(n-26) -486151119759854565*a(n-27) -1780947787725525750*a(n-28) +2541856755237534547*a(n-29) +379329934589385724*a(n-30) +3448943191595078683*a(n-31) +8560512850871041932*a(n-32) -52087328831538029883*a(n-33) +73498292332650743820*a(n-34) -117564387597986894927*a(n-35) +154511150901340232576*a(n-36) +158105762642110223751*a(n-37) -794166021655563243807*a(n-38) +1449915664894316999226*a(n-39) -2319497198395279774758*a(n-40) +3152395853326042811820*a(n-41) -3077159238342032332734*a(n-42) +1851051999171023409168*a(n-43) +1012814819239670502588*a(n-44) -6368974164984089334024*a(n-45) +11826741075974474904936*a(n-46) -14555479659385494171888*a(n-47) +21341511527210866337184*a(n-48) -40640163454936767954528*a(n-49) +64179057397487705467776*a(n-50) -72922922509983846771456*a(n-51) +56627319891732020917056*a(n-52) -24712517615962005492480*a(n-53) -1953405055188430456320*a(n-54) +12342207734650220009472*a(n-55) -9765649174347976485888*a(n-56) +2984537641774792568832*a(n-57) +333290808043194138624*a(n-58) +257420137499091468288*a(n-59) -726013334319058649088*a(n-60) +256662322492420915200*a(n-61) -8423789045905096704*a(n-62) for n>63.
EXAMPLE
Some solutions for n=3
..0..1..1....0..1..2....0..1..0....0..0..0....0..1..0....0..1..1....0..0..0
..2..0..2....3..2..3....0..0..2....0..0..1....1..0..0....2..2..0....0..0..1
..2..1..0....1..1..1....3..1..0....1..1..2....1..1..1....1..1..1....1..1..2
..3..3..3....3..3..0....2..2..2....1..1..1....2..1..2....0..3..3....0..0..0
..2..3..3....1..3..1....0..0..3....0..0..2....0..3..3....3..2..1....2..3..3
CROSSREFS
Sequence in context: A348525 A255731 A204884 * A151601 A251817 A216488
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 20 2012
STATUS
approved