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A210058 Number of (n+1)X6 0..3 arrays with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order 1
15435, 1800963, 216648913, 26586250017, 3291534980629, 409244238764475, 50984849090449545, 6357981795575036349, 793231583264391643503, 98987250945648072922983, 12353977181472783287270565 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A210061

LINKS

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

FORMULA

Empirical: a(n) = 475*a(n-1) -97955*a(n-2) +11644948*a(n-3) -886260089*a(n-4) +44834024531*a(n-5) -1480016997447*a(n-6) +27501893634440*a(n-7) -19154281755615*a(n-8) -14109997538202492*a(n-9) +380139811212670895*a(n-10) -3633142641071106396*a(n-11) -39963611616830248751*a(n-12) +1593444365962381088141*a(n-13) -16360359898646925132279*a(n-14) -53628797960005666834153*a(n-15) +3065608736301301696033933*a(n-16) -26133079154765866041703954*a(n-17) -87110150856708548490003060*a(n-18) +3285447151642843946296465482*a(n-19) -18500796538252035362244196167*a(n-20) -113537822015480997084820017660*a(n-21) +1969595973555246112226429400634*a(n-22) -5094180777791326840894878530663*a(n-23) -75410170517326615792515199294977*a(n-24) +619290284616722614965304728608567*a(n-25) +282521833961316282723684931217991*a(n-26) -24485953057692811284051179308463142*a(n-27) +87528837132342708300013321879388542*a(n-28) +421839879798739258065978672006583145*a(n-29) -3822531315339042347338715171300344808*a(n-30) +1642585670325595563732651321348901955*a(n-31) +80095320020976756490928448282418797830*a(n-32) -249661247879983704468179465630174148693*a(n-33) -824995758310594778361056511706446456928*a(n-34) +6016785610935426654223191102098135317833*a(n-35) -778697358933658882992721546717012979601*a(n-36) -79309986916314128726892179039528969987707*a(n-37) +157555334900999055527104579177409467289432*a(n-38) +602283879827287863757856564608666530725055*a(n-39) -2546742900036971451117990401862557640143168*a(n-40) -1657027255259397066080778818344036441460639*a(n-41) +23255596150507593709470173141631460142244853*a(n-42) -17594542312206290843534999866506688717680235*a(n-43) -136255374929980512719104232302331973426434040*a(n-44) +258725574548145494892200025553519769330638422*a(n-45) +491079674149355651944535333752397059873317488*a(n-46) -1766575672354076400813352548496269051547581220*a(n-47) -683150248115121120383647344175928104099477608*a(n-48) +7816371876000367947395038896350316967941207448*a(n-49) -3302546155481051758244037513755926584253348544*a(n-50) -23915833694228189943256241814306852903473099488*a(n-51) +25088643905466425713954882071915472136888830368*a(n-52) +50427907621483887112073549360396299946174766144*a(n-53) -88008584836161707485167757433011709683981331136*a(n-54) -67754422804700266054390250546959542120056391552*a(n-55) +202406445124041566579135038714540269024683517568*a(n-56) +37485862393564612841174855267105968591774474752*a(n-57) -329415495615585324293996620119764707645766443008*a(n-58) +55853541413444206557214362404731022974647610624*a(n-59) +388475434686064783461884007007523056946064899584*a(n-60) -162940562866958500495470022745722401901228995072*a(n-61) -333233305522203285352614541174833042241592032256*a(n-62) +205978946164240761056615039661178711137814825984*a(n-63) +206342303792645116186615933728367657989819990016*a(n-64) -164447364496545466840809218436048540822968772608*a(n-65) -90610830580669281648850701784053935924019621888*a(n-66) +89017490518955358597224840931869719072799014912*a(n-67) +27345115405290297188497153980462245068409798656*a(n-68) -33084580007694681281054308927192461602741256192*a(n-69) -5350062810598875580807935350063279580138209280*a(n-70) +8330270004833621276238148417662208035177627648*a(n-71) +590807774385608600187792054379836607645089792*a(n-72) -1371848721652188331182218108388844472685428736*a(n-73) -17554358576770937639357488522148218133938176*a(n-74) +138550326488504911573703523315151801672531968*a(n-75) -3626249233460961086387123169987888984096768*a(n-76) -7621190173424905401435229631844950923542528*a(n-77) +421751512066698836117916913345490281562112*a(n-78) +175498811870847501412698708269241288622080*a(n-79) -13876305971114000991959874100286837489664*a(n-80) -502683252521624819998507914989785841664*a(n-81) +24181177809889217133507139098913013760*a(n-82)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A345584 A345841 A054840 * A154091 A246912 A035920

Adjacent sequences:  A210055 A210056 A210057 * A210059 A210060 A210061

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 16 2012

STATUS

approved

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Last modified October 22 09:44 EDT 2021. Contains 348160 sequences. (Running on oeis4.)