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A187957 Half the number of (n+2)X4 binary arrays with no 3X3 subblock having a sum equal to any horizontal or vertical neighbor 3X3 subblock sum 1
1408, 8768, 53728, 322128, 2092928, 13520976, 86157696, 548059536, 3471855360, 21859425872, 139526151616, 888660941136, 5639390386304, 35875799655952, 227944117135296, 1445770705741904, 9197000455294016, 58463779006676944 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A187964

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=5*a(n-1)+6*a(n-2)+99*a(n-3)-517*a(n-4)-346*a(n-5)+13033*a(n-6)-57833*a(n-7)-68926*a(n-8)-836599*a(n-9)+4655561*a(n-10)+3070398*a(n-11)-36610155*a(n-12)+119400299*a(n-13)+173417410*a(n-14)+1824238221*a(n-15)-9638608359*a(n-16)-6192477994*a(n-17)+17695576415*a(n-18)+7002784613*a(n-19)-63838801602*a(n-20)-959349540229*a(n-21)+4083676919591*a(n-22)+2355193730782*a(n-23)-4198619892256*a(n-24)-7250034805352*a(n-25)+7731581573048*a(n-26)+194164612372656*a(n-27)-720965905404336*a(n-28)-368111638621968*a(n-29)+652720485880384*a(n-30)+319887464830272*a(n-31)-654416911165280*a(n-32)-17098847044080224*a(n-33)+58688760015389280*a(n-34)+24593110863134208*a(n-35)-58350586496272896*a(n-36)+77161628915051776*a(n-37)+67185400310475904*a(n-38)+594795385181513472*a(n-39)-1933364516082720768*a(n-40)-489171971302665472*a(n-41)+2599243116793135360*a(n-42)-6709901327757569280*a(n-43)-3388850463215656960*a(n-44)-1255020362386550016*a(n-45)+7714005820133745408*a(n-46)-7968601027491098112*a(n-47)-33085684542175014912*a(n-48)+118058533635462125568*a(n-49)+39512750093838385152*a(n-50)-133590905508776103936*a(n-51)+364281432743469293568*a(n-52)+210319981915211218944*a(n-53)-398799763680154927104*a(n-54)+584019030389541470208*a(n-55)+520541510369258962944*a(n-56)-963173390160429711360*a(n-57)+727847118498482749440*a(n-58)+1555489330103731617792*a(n-59)-1245394791974180487168*a(n-60)-2068309943964889251840*a(n-61)+3643324883940909514752*a(n-62)+977068899261735763968*a(n-63)-10300424116071586332672*a(n-64)+2413639308219506491392*a(n-65)+4473242080388271046656*a(n-66)-4528774523925118844928*a(n-67)-5197024805196801245184*a(n-68)+1969790675024043048960*a(n-69)+15024227251673980993536*a(n-70)-7316920907168275759104*a(n-71)-3317013767167313707008*a(n-72)+6475212296736963821568*a(n-73)+1255155103368329822208*a(n-74)-2202144678073300156416*a(n-75)-6121478755531981062144*a(n-76)+2506656217055474221056*a(n-77)+627860856482970992640*a(n-78)+899258775091739099136*a(n-79)-534694406811304329216*a(n-80)

EXAMPLE

Some solutions for 6X4 with a(1,1)=0

..0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..1

..1..0..1..0....0..0..0..0....0..0..1..1....0..0..0..1....0..1..0..1

..0..0..0..0....1..1..1..1....0..0..0..0....1..1..0..1....0..0..1..0

..0..1..1..0....1..0..0..0....0..0..1..1....1..1..0..1....1..0..1..1

..1..0..0..0....1..0..1..1....1..1..1..1....1..1..1..0....1..1..0..0

..0..0..1..0....1..0..0..0....1..0..0..1....0..1..0..0....1..0..1..1

CROSSREFS

Sequence in context: A035863 A045127 A210786 * A235906 A204745 A204741

Adjacent sequences: A187954 A187955 A187956 * A187958 A187959 A187960

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 16 2011

STATUS

approved

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Last modified January 31 01:17 EST 2023. Contains 359947 sequences. (Running on oeis4.)