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A204507 Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..2 introduced in row major order 1
7344, 164248, 3673007, 65497615, 1294406290, 25704476586, 497453566167, 9731482764611, 190552178809004, 3720392620287104, 72719982033519857, 1421613818944924431, 27782302447034358470, 543007510281535812698 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A204511

LINKS

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

FORMULA

Empirical: a(n) = 23*a(n-1) -70*a(n-2) +1025*a(n-3) -22749*a(n-4) +67673*a(n-5) -92732*a(n-6) +3887718*a(n-7) -11975930*a(n-8) +16132162*a(n-9) -257543528*a(n-10) +648850791*a(n-11) -3912022704*a(n-12) +5466580086*a(n-13) +18250666658*a(n-14) +380686684950*a(n-15) +301898128801*a(n-16) -3264960826326*a(n-17) -21312465202375*a(n-18) -19513775439964*a(n-19) +144744720549548*a(n-20) +713556552919995*a(n-21) +680104927574175*a(n-22) -3856186817089130*a(n-23) -16827495551027698*a(n-24) -16644010463789350*a(n-25) +72234757623251237*a(n-26) +310436500350515571*a(n-27) +342200960973248678*a(n-28) -976831244243615468*a(n-29) -4365088254799620145*a(n-30) -5313780781894597056*a(n-31) +8664179562649322036*a(n-32) +43149463878458463519*a(n-33) +55199406842456469134*a(n-34) -55581614522788391149*a(n-35) -312952994008222236107*a(n-36) -405140164155329935126*a(n-37) +301519641818529400482*a(n-38) +1911799536889676703994*a(n-39) +2675071985466621681494*a(n-40) -730164304684024949344*a(n-41) -9123500667547360846460*a(n-42) -15443809790065351221202*a(n-43) -6107889334657453880040*a(n-44) +25085656943872118493476*a(n-45) +59562574776921773497072*a(n-46) +57731657729889178327188*a(n-47) -5410639210530237319768*a(n-48) -104852599734913907890104*a(n-49) -177030224002293934347600*a(n-50) -175992562953810211971152*a(n-51) -102490652950750764479200*a(n-52) +48586294323093685094176*a(n-53) +335536163779286123097008*a(n-54) +754080893938501876971616*a(n-55) +1020797808646937896907488*a(n-56) +615189230613220682198688*a(n-57) -707896357683558511457472*a(n-58) -2323553334171470241882112*a(n-59) -2893760884572960447840064*a(n-60) -1518960350852591322521216*a(n-61) +1176342601246923689720448*a(n-62) +3336970889915025755304448*a(n-63) +3469872235155027158972160*a(n-64) +1723067308781581829166080*a(n-65) -481416345144464338399744*a(n-66) -1878038075672456252540928*a(n-67) -2155164456699447612258304*a(n-68) -1609965913217021415993344*a(n-69) -626467444078270643109888*a(n-70) +385633183578860519636992*a(n-71) +968786514216627931815936*a(n-72) +901131021844228737712128*a(n-73) +417026435867321160040448*a(n-74) -38679369366710044852224*a(n-75) -223454775421789338337280*a(n-76) -188443969451705208406016*a(n-77) -84165065883642002145280*a(n-78) -8632493190259767508992*a(n-79) +16472522302309894455296*a(n-80) +13152627635966164598784*a(n-81) +5254619833935373271040*a(n-82) +1181521624297918955520*a(n-83) +113224281118212096000*a(n-84) -5871460382303846400*a(n-85) for n>86

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A202574 A202567 A202566 * A295002 A235951 A219084

Adjacent sequences:  A204504 A204505 A204506 * A204508 A204509 A204510

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified May 22 13:12 EDT 2022. Contains 353950 sequences. (Running on oeis4.)