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A210350 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having one, two or three distinct clockwise edge differences 1
4615, 423694, 38415623, 3506487749, 320128196268, 29234187801911, 2669774395715994, 243817307546400921, 22266703737317964247, 2033516801978277770330, 185711890762272025535608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A210355

LINKS

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

FORMULA

Empirical: a(n) = 191*a(n-1) -12666*a(n-2) +362418*a(n-3) -2471771*a(n-4) -110401217*a(n-5) +2621836067*a(n-6) -5950956298*a(n-7) -457658156996*a(n-8) +4931495900625*a(n-9) +22595991223312*a(n-10) -660371000230224*a(n-11) +1576600613573351*a(n-12) +40726756485462035*a(n-13) -261581043509847118*a(n-14) -1180848375506028374*a(n-15) +15214038374148596375*a(n-16) +2740239137031201481*a(n-17) -500647751869384591185*a(n-18) +1003334958924814164002*a(n-19) +10265837091234582479490*a(n-20) -38885756005297761240461*a(n-21) -130612308191256893882321*a(n-22) +812041422755207796165679*a(n-23) +855729427631059422140114*a(n-24) -11175171560989023064509960*a(n-25) +1889581061866764605910891*a(n-26) +107928399415545111392724496*a(n-27) -107784289315410029448855934*a(n-28) -748128702571716925965136011*a(n-29) +1270446999046412386430183438*a(n-30) +3712144693238748687188701435*a(n-31) -9124381122510874786617773257*a(n-32) -12697180476385310458871841925*a(n-33) +45745095998148294054172238533*a(n-34) +25879826918923108106955540193*a(n-35) -167256385704846228147053848315*a(n-36) -5522734439691358725661862744*a(n-37) +452571003883272632598446053394*a(n-38) -162676959471579995234071136543*a(n-39) -904948271559219280422768304046*a(n-40) +626035293669715175604860994661*a(n-41) +1314278201887400107774175032607*a(n-42) -1355020035697843080612169545698*a(n-43) -1325873311191946166966833531231*a(n-44) +1973302357536165503278014656818*a(n-45) +819196798824108568727701573827*a(n-46) -2014556097985763744645141103153*a(n-47) -141292825105011889583185641794*a(n-48) +1444488136170597993772231897282*a(n-49) -247655714150765676981442117027*a(n-50) -712507042523512207592090491261*a(n-51) +261206533429284400319401980540*a(n-52) +230922165671337271495130560074*a(n-53) -130296618009089433855843407234*a(n-54) -44578783099713406658548437066*a(n-55) +38556121946149222868083061076*a(n-56) +3691991189510051391638768180*a(n-57) -6995991014442444122356572748*a(n-58) +257789834532082975263071992*a(n-59) +772349630438652610156030230*a(n-60) -86947033325326193209399996*a(n-61) -50550945071670308168118284*a(n-62) +7804233987414798680212112*a(n-63) +1880536771253356175158040*a(n-64) -321393299282915797600248*a(n-65) -37501945544789391775192*a(n-66) +6220742886607802957056*a(n-67) +344840850367579506624*a(n-68) -53336079334554500352*a(n-69) -987610693682276352*a(n-70) +164858395676078080*a(n-71) -1278984298302976*a(n-72)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A035785 A108009 A263115 * A265971 A265926 A260054

Adjacent sequences:  A210347 A210348 A210349 * A210351 A210352 A210353

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 20 2012

STATUS

approved

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Last modified September 18 16:56 EDT 2021. Contains 347532 sequences. (Running on oeis4.)