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A205054 Number of (n+1)X8 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors 1
174282, 2789316, 76554719, 3582717434, 163545596549, 8904229041644, 419073553408284, 22983367435855342, 1083295543629733168, 59417626369076757570, 2800934406545902426204, 153616182363180163609188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A205055

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) +2448*a(n-2) -43211*a(n-3) +348536*a(n-4) -1664204*a(n-5) +4396216*a(n-6) +33062650*a(n-7) -619127506*a(n-8) +13929994053*a(n-9) -179243407974*a(n-10) +3495309899238*a(n-11) -43400329671991*a(n-12) +590283789217832*a(n-13) -6195571216459074*a(n-14) +63900831141907364*a(n-15) -569185210049545445*a(n-16) +5932699563974760848*a(n-17) -56067895127538398859*a(n-18) +375292217682143458670*a(n-19) -1789172921284855037338*a(n-20) +6287923739979831938786*a(n-21) -16720236293334758024133*a(n-22) +38349449429820775196500*a(n-23) -137109103754237096790445*a(n-24) +879505046288471007045680*a(n-25) -5402935677807836777422306*a(n-26) +26884631083571217976531842*a(n-27) -108252671094231471829605716*a(n-28) +347541805992669108392264951*a(n-29) -806867892199673449976440512*a(n-30) +664027850735518710392414132*a(n-31) +5527604866647399091500962295*a(n-32) -39154040360050742298063738440*a(n-33) +161746044002768970114984189105*a(n-34) -504717497753266416633748209355*a(n-35) +1253360612899579003013454463773*a(n-36) -2475303998631761252971901587957*a(n-37) +3724269216659338080691645085936*a(n-38) -3644786667003481214919686328903*a(n-39) +296301618864809548769039090054*a(n-40) +6945661500508446051605106303293*a(n-41) -14171891101739214497839841806238*a(n-42) +10929589658627839745031348417748*a(n-43) +17450108814521857959024918921677*a(n-44) -83883688588011818894919980597183*a(n-45) +194806903890813032852444493093418*a(n-46) -348353331702464822675342466720758*a(n-47) +531400525677264006708645974268435*a(n-48) -718021884679981181495892392227671*a(n-49) +882007095900980189637819150554892*a(n-50) -1019439675349936010228995830622536*a(n-51) +1147478171042551371360958488389163*a(n-52) -1265539068876017087879840743071337*a(n-53) +1329224217034101021749412795300269*a(n-54) -1287937232293068997710209794692561*a(n-55) +1145549460458525561161900963100413*a(n-56) -959381863601417533208233827874988*a(n-57) +779534422845525412991270676684908*a(n-58) -613820156671527258714524350518900*a(n-59) +453888675882181857205846123062384*a(n-60) -307901140629663712336229728495424*a(n-61) +194146146420354988961914085223744*a(n-62) -118427631541054798059050785759040*a(n-63) +71231261274346798199118484829632*a(n-64) -40960373487545180951230165563296*a(n-65) +21605076348330896588293940430000*a(n-66) -10466462811181076621841597949600*a(n-67) +4894664865226733038540475240000*a(n-68) -2291423808652221096827526721600*a(n-69) +1032191416501205680918100912400*a(n-70) -417660175193879430795922909200*a(n-71) +149956039639276839258912460800*a(n-72) -51341806166942303540476416000*a(n-73) +18020561481388075699472947200*a(n-74) -6071688323371997426454681600*a(n-75) +1683893936739265401870720000*a(n-76) -335757469687553067073920000*a(n-77) +41916490082803507691520000*a(n-78) -2465675887223735746560000*a(n-79) for n>87

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A034632 A251155 A166264 * A244549 A214172 A247348

Adjacent sequences:  A205051 A205052 A205053 * A205055 A205056 A205057

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 21 2012

STATUS

approved

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Last modified January 15 19:07 EST 2021. Contains 340188 sequences. (Running on oeis4.)