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A205821 Number of (n+1) X 7 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases. 1
3672, 28242, 230532, 2158482, 20842578, 206195280, 2053746000, 20547395916, 205854316380, 2064129121566, 20703020123544, 207684698582640, 2083530777092724, 20903078814105732, 209713177538231946 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A205823.

LINKS

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

FORMULA

Empirical: a(n) = 28*a(n-1) -208*a(n-2) -1082*a(n-3) +21398*a(n-4) -42129*a(n-5) -748651*a(n-6) +3831277*a(n-7) +11009650*a(n-8) -118512698*a(n-9) +20241007*a(n-10) +2074711521*a(n-11) -3798983183*a(n-12) -22498840839*a(n-13) +77155306771*a(n-14) +141735165873*a(n-15) -904628575785*a(n-16) -216309475153*a(n-17) +7176695446816*a(n-18) -5381140620161*a(n-19) -40159638312427*a(n-20) +64516913652731*a(n-21) +156045296765995*a(n-22) -420566441597426*a(n-23) -370280346825369*a(n-24) +1896413617041966*a(n-25) +116389803065562*a(n-26) -6294489120026476*a(n-27) +3276203616430926*a(n-28) +15595777875272897*a(n-29) -16460601434798787*a(n-30) -28226347625685658*a(n-31) +48769501191854025*a(n-32) +33790985922392165*a(n-33) -103566624274387128*a(n-34) -14092986869301021*a(n-35) +166251919114377278*a(n-36) -42448161654003304*a(n-37) -204489830757025452*a(n-38) +122191197037291914*a(n-39) +190358294144265720*a(n-40) -187149557880579966*a(n-41) -126886223520685655*a(n-42) +202881065998585776*a(n-43) +48430501432590311*a(n-44) -166690729492859431*a(n-45) +7966686261513292*a(n-46) +105987736523260481*a(n-47) -29122781258292427*a(n-48) -52060927021094606*a(n-49) +25753859318524430*a(n-50) +19255556374065854*a(n-51) -14828585120461188*a(n-52) -4947770560990843*a(n-53) +6298341381835328*a(n-54) +612580881680123*a(n-55) -2045467552761627*a(n-56) +138186931607999*a(n-57) +511326986781121*a(n-58) -103859318856876*a(n-59) -97199221359635*a(n-60) +32822680160399*a(n-61) +13533015888821*a(n-62) -6911150350543*a(n-63) -1244066877631*a(n-64) +1050842336467*a(n-65) +45142886695*a(n-66) -117141894727*a(n-67) +6151516604*a(n-68) +9443703556*a(n-69) -1222899551*a(n-70) -528402967*a(n-71) +108249641*a(n-72) +18688372*a(n-73) -5759268*a(n-74) -311108*a(n-75) +185856*a(n-76) -2569*a(n-77) -3298*a(n-78) +186*a(n-79) +24*a(n-80) -2*a(n-81)

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Sequence in context: A255088 A283732 A283202 * A250895 A216139 A250702

Adjacent sequences:  A205818 A205819 A205820 * A205822 A205823 A205824

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 2012

STATUS

approved

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Last modified May 18 00:59 EDT 2022. Contains 353779 sequences. (Running on oeis4.)