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A210072 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or three distinct clockwise edge differences 1
2908, 183628, 11333893, 707627792, 44179487805, 2759914868891, 172422974616663, 10772379159246366, 673025014495254663, 42048651705088770650, 2627079717870191311209, 164132481285262753577432 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A210077
LINKS
FORMULA
Empirical: a(n) = 105*a(n-1) -2719*a(n-2) -15451*a(n-3) +1390943*a(n-4) -7924538*a(n-5) -266634929*a(n-6) +2783228062*a(n-7) +26184293659*a(n-8) -399963589595*a(n-9) -1390685894189*a(n-10) +33792993132607*a(n-11) +30902632289869*a(n-12) -1890381555307832*a(n-13) +822619990486604*a(n-14) +74406664819656249*a(n-15) -89835422690076184*a(n-16) -2138656368143245036*a(n-17) +3544878797500349305*a(n-18) +46008317343363322887*a(n-19) -87903800402488590784*a(n-20) -753473801980270591181*a(n-21) +1535436320348069965003*a(n-22) +9505348644817473245840*a(n-23) -19817177440215843837829*a(n-24) -93126842954944481973745*a(n-25) +194008472781630232252845*a(n-26) +712417629951787189697006*a(n-27) -1464351302320119255078001*a(n-28) -4269039597123343663401254*a(n-29) +8611866713944156678864641*a(n-30) +20062337369297929637737396*a(n-31) -39721870514776593763639623*a(n-32) -73883618013286155451079859*a(n-33) +144186462856893414613730955*a(n-34) +212594575285455273050900740*a(n-35) -412162806244228323032035765*a(n-36) -475362727557671730453508543*a(n-37) +926067583198793638831571069*a(n-38) +818943669820992562798006291*a(n-39) -1628407201463016755238157088*a(n-40) -1073377817747961549292055653*a(n-41) +2225907870727063061101510830*a(n-42) +1050655346169817900693995129*a(n-43) -2343867586300105570589047976*a(n-44) -746446528111441994989443963*a(n-45) +1879795853747926271266149480*a(n-46) +366426635285816505070213167*a(n-47) -1132874535089578641767501432*a(n-48) -111323955733240541695109281*a(n-49) +505194638908821997108469349*a(n-50) +12927626382477733740240979*a(n-51) -163887799475213923454810367*a(n-52) +4251111577638305441346089*a(n-53) +37966681387926744734306902*a(n-54) -2249309141628534316063828*a(n-55) -6153601732703873799844070*a(n-56) +476254714828361557941333*a(n-57) +681177457210232099839986*a(n-58) -56897891948249201993222*a(n-59) -49910567815506758541560*a(n-60) +4016897111990219118375*a(n-61) +2316946754025069893095*a(n-62) -163269106694177521346*a(n-63) -63879794902532341859*a(n-64) +3536992747961553187*a(n-65) +943996081685851752*a(n-66) -35450092561754998*a(n-67) -6289331583619410*a(n-68) +135657995058528*a(n-69) +14840999586360*a(n-70) -115072392784*a(n-71)
EXAMPLE
Some solutions for n=4
..1..0..0..1....2..2..3..1....0..2..2..1....0..1..3..2....0..1..0..2
..1..0..0..0....1..2..1..1....1..1..1..1....0..1..2..2....2..1..0..0
..1..1..0..2....2..2..3..2....2..2..1..0....1..1..2..0....1..1..1..0
..1..1..1..1....3..1..1..1....0..0..0..0....1..0..0..0....0..0..1..2
..3..2..3..3....1..1..1..1....1..1..1..0....1..0..2..2....0..0..0..2
CROSSREFS
Sequence in context: A254190 A253795 A251477 * A157183 A054829 A289228
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 17 2012
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)