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A209853 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or four distinct clockwise edge differences 1
1308, 43091, 1386131, 45071990, 1460712837, 47417927307, 1538049629157, 49909370504583, 1619185527207846, 52536780996401572, 1704519800332362929, 55303928598134584604, 1794326926238291896396, 58217253005717270646300 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A209858

LINKS

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

FORMULA

Empirical: a(n) = 20*a(n-1) +963*a(n-2) -12793*a(n-3) -312156*a(n-4) +3571443*a(n-5) +49605457*a(n-6) -553758368*a(n-7) -4457972689*a(n-8) +52612881372*a(n-9) +243417930360*a(n-10) -3275949406092*a(n-11) -8240107440663*a(n-12) +140666492498369*a(n-13) +160116943902217*a(n-14) -4326535316148209*a(n-15) -817021352845345*a(n-16) +98006065095893985*a(n-17) -49203318829660909*a(n-18) -1668148030882549725*a(n-19) +1723999493198171149*a(n-20) +21637008392085651838*a(n-21) -31773088576337392703*a(n-22) -215843167651091106385*a(n-23) +399719679271900244237*a(n-24) +1664018938648323383901*a(n-25) -3697329744805424755681*a(n-26) -9917310558011937270066*a(n-27) +25982170466786070131093*a(n-28) +45447978346529331965091*a(n-29) -141117691880001505315599*a(n-30) -157856587989686977889953*a(n-31) +598069670716001721149653*a(n-32) +401968717089020637279250*a(n-33) -1987776050324662023234413*a(n-34) -686660571916972008322547*a(n-35) +5191091867684820767344742*a(n-36) +522733262632635990820808*a(n-37) -10646069432263823711177799*a(n-38) +915809068137700417207761*a(n-39) +17098571599529269338686083*a(n-40) -3943750897982196417975435*a(n-41) -21398685175106614262349856*a(n-42) +7368362612864864601239602*a(n-43) +20709879068969481472447106*a(n-44) -9015916934517168198203128*a(n-45) -15335247867307455505750474*a(n-46) +7824208837288323351242620*a(n-47) +8561662593050307213736807*a(n-48) -4920492104705864543228925*a(n-49) -3532336472390984912564596*a(n-50) +2242642650064493959464073*a(n-51) +1047216070797663839803065*a(n-52) -731775898101400159982255*a(n-53) -214107873494035007863503*a(n-54) +167132111313457973560540*a(n-55) +28238564794974400827975*a(n-56) -25825554003258952415666*a(n-57) -2098980376078516736024*a(n-58) +2571400424053876584470*a(n-59) +52829982196209769868*a(n-60) -153859888970921746848*a(n-61) +2954600261893327248*a(n-62) +4977837135363185688*a(n-63) -211003278535383648*a(n-64) -72160266595102240*a(n-65) +3672896320734208*a(n-66) +335148663461120*a(n-67) -16066999343104*a(n-68)

EXAMPLE

Some solutions for n=4

..1..0..0..0....0..3..3..0....1..3..3..3....0..0..1..0....1..1..2..0

..0..3..1..3....1..0..1..3....1..0..1..0....0..0..3..3....0..3..1..2

..1..0..1..0....3..1..3..2....3..3..1..3....3..1..3..3....1..0..3..1

..1..3..3..1....0..1..0..0....1..0..3..0....1..0..2..0....0..3..1..0

..1..0..1..2....0..3..3..1....0..2..2..2....1..3..0..3....1..3..0..2

CROSSREFS

Sequence in context: A325605 A281211 A233975 * A165936 A242606 A066509

Adjacent sequences:  A209850 A209851 A209852 * A209854 A209855 A209856

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 14 2012

STATUS

approved

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Last modified December 7 12:17 EST 2021. Contains 349581 sequences. (Running on oeis4.)