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A205741 Number of 6X(n+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. 1
35577, 34674, 191766, 1421976, 10821462, 84974904, 677890656, 5534415120, 45731628030, 384859989894, 3269433925416, 28167165751182, 244416911605530, 2142938782409352, 18887852635398972, 167701423759157730 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A205736.

LINKS

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

FORMULA

Empirical: a(n) = 44*a(n-1) -697*a(n-2) +2823*a(n-3) +50176*a(n-4) -671969*a(n-5) +1392355*a(n-6) +27009733*a(n-7) -192471664*a(n-8) -139095140*a(n-9) +6266420268*a(n-10) -16869296724*a(n-11) -89208036620*a(n-12) +554005385102*a(n-13) +207717451254*a(n-14) -8634132245579*a(n-15) +13819340365755*a(n-16) +76528296303175*a(n-17) -266850902739716*a(n-18) -320718310333739*a(n-19) +2679535487461868*a(n-20) -957859342435728*a(n-21) -17219539746162896*a(n-22) +24774028058669201*a(n-23) +71575824555602054*a(n-24) -195053698584375389*a(n-25) -158344686661180447*a(n-26) +960266292771026075*a(n-27) -147504398240257709*a(n-28) -3281105894629344554*a(n-29) +2783831215263433651*a(n-30) +7830154188549892943*a(n-31) -12430528022981453227*a(n-32) -11947393705816898957*a(n-33) +34822479447176200014*a(n-34) +6147900309191538621*a(n-35) -69083167195678066975*a(n-36) +22476855995107154070*a(n-37) +99462169722498844505*a(n-38) -75630945182113750390*a(n-39) -101238125655863430297*a(n-40) +131384864080636075526*a(n-41) +63991210090262434739*a(n-42) -155896925424742780863*a(n-43) -7404755143187318673*a(n-44) +134213176461997023157*a(n-45) -34589459717354297494*a(n-46) -84331204940985724794*a(n-47) +44890677753208246834*a(n-48) +37323039374793495977*a(n-49) -32673643993064164863*a(n-50) -10166343357161893029*a(n-51) +16246981045478128455*a(n-52) +535643313528705086*a(n-53) -5740754294866743041*a(n-54) +914314591736570938*a(n-55) +1425583908237978248*a(n-56) -466984836106424336*a(n-57) -234014026295429808*a(n-58) +124989292477632576*a(n-59) +20589631348216656*a(n-60) -20825151972790176*a(n-61) +245010625379712*a(n-62) +2128449926421504*a(n-63) -281260511239680*a(n-64) -115762356638208*a(n-65) +28677148222464*a(n-66) +1642346440704*a(n-67) -1019862835200*a(n-68) +79815352320*a(n-69) for n>72.

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Sequence in context: A282129 A203337 A184002 * A206673 A205517 A204666

Adjacent sequences: A205738 A205739 A205740 * A205742 A205743 A205744

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 30 2012

STATUS

approved

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Last modified November 27 22:56 EST 2022. Contains 358406 sequences. (Running on oeis4.)