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A205585 Number of (n+1)X4 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order 1
413, 4220, 48401, 541966, 6127845, 68604790, 776680394, 8702185466, 98398332311, 1103927071962, 12468958815761, 140015466501204, 1580270353473531, 17756867239461678, 200295188074165090, 2251768811108327634 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A205590

LINKS

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

FORMULA

Empirical: a(n) = 152*a(n-2) +54*a(n-3) -4718*a(n-4) +5948*a(n-5) +58946*a(n-6) -19436*a(n-7) -1353480*a(n-8) +2542842*a(n-9) +9556078*a(n-10) -27865096*a(n-11) -65567168*a(n-12) +254406326*a(n-13) +71727865*a(n-14) -538337356*a(n-15) -2112406171*a(n-16) +4588110792*a(n-17) +4795025038*a(n-18) -5327969682*a(n-19) -17161759910*a(n-20) +7334884278*a(n-21) +21326735730*a(n-22) -133698908778*a(n-23) -70192339665*a(n-24) +411425826402*a(n-25) +1019951533925*a(n-26) -607446842940*a(n-27) -960447744408*a(n-28) -490203083736*a(n-29) -1614395098494*a(n-30) +3156004549890*a(n-31) +14423374001987*a(n-32) +2510729034060*a(n-33) -52628366908930*a(n-34) -13565106506052*a(n-35) +105837336195065*a(n-36) +62664755841178*a(n-37) -211447917300772*a(n-38) -114559785207888*a(n-39) +303103511948806*a(n-40) +68047189338132*a(n-41) -278114921604090*a(n-42) -53370728860004*a(n-43) +269127801384484*a(n-44) -19936594110316*a(n-45) -164006197905600*a(n-46) +4781667715064*a(n-47) +109575138387544*a(n-48) -16919294438944*a(n-49) -43656348058176*a(n-50) +5987177976704*a(n-51) +16442801335744*a(n-52) -4958077313728*a(n-53) -1892648379136*a(n-54) +765080068864*a(n-55) +35571732480*a(n-56) -31503759360*a(n-57) +8522973184*a(n-58) -427900928*a(n-59) -502136832*a(n-60) for n>61

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A205755 A331825 A250945 * A176381 A027661 A260472

Adjacent sequences:  A205582 A205583 A205584 * A205586 A205587 A205588

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 29 2012

STATUS

approved

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Last modified June 25 03:00 EDT 2022. Contains 354835 sequences. (Running on oeis4.)