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 A205365 Number of (n+1) X 4 0..3 arrays where every 2 X 2 subblock has the same number of clockwise edge increases. 1
 15616, 516364, 17552984, 629784956, 23521828188, 902946068592, 35270352008656, 1392432201867300, 55321379385256444, 2206141415637225728, 88169908044785969056, 3528235648216602942008, 141290714602257245092584 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A205370. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 103*a(n-1) -4035*a(n-2) +77236*a(n-3) -703635*a(n-4) +401404*a(n-5) +61615992*a(n-6) -700550614*a(n-7) +3602880313*a(n-8) -4716061467*a(n-9) -57928714123*a(n-10) +415213995227*a(n-11) -1077401184659*a(n-12) -1494071806284*a(n-13) +23310887161530*a(n-14) -92183155094756*a(n-15) +163320168292879*a(n-16) +170907826406571*a(n-17) -2091982203101217*a(n-18) +7331712505649372*a(n-19) -16145217493028164*a(n-20) +24081789964973043*a(n-21) -22315157663081556*a(n-22) +6955150744977578*a(n-23) +8274231407456842*a(n-24) +1445007234446555*a(n-25) -29307372455575291*a(n-26) -9637249279716955*a(n-27) +240755055970354627*a(n-28) -652091768181635887*a(n-29) +901123262464482490*a(n-30) -437266991875596082*a(n-31) -879106161012671207*a(n-32) +2199388857160452632*a(n-33) -2155134374273607656*a(n-34) +350328999645607827*a(n-35) +1847094994049688117*a(n-36) -2582022225190883162*a(n-37) +1541189538949760109*a(n-38) -146957173694535794*a(n-39) -273731997110345262*a(n-40) -163121815547141977*a(n-41) +551523156636515865*a(n-42) -491262012697548418*a(n-43) +264230383057384723*a(n-44) -148643176400811517*a(n-45) +109124897675890055*a(n-46) -53586497648344840*a(n-47) +8635897134152157*a(n-48) -11696609348471860*a(n-49) +29214000829850831*a(n-50) -23525982574816757*a(n-51) +4490942715231053*a(n-52) +4914830531695755*a(n-53) -2911768604871188*a(n-54) -567294046992742*a(n-55) +1076143848594311*a(n-56) -222896354933353*a(n-57) -234269938320854*a(n-58) +192238248103422*a(n-59) -60249313921814*a(n-60) +2857418769364*a(n-61) +4686491013984*a(n-62) -1782307453216*a(n-63) +242028160112*a(n-64) +18822999352*a(n-65) -11421123536*a(n-66) +1300918304*a(n-67) +24372896*a(n-68) -9682752*a(n-69) for n>70. EXAMPLE Some solutions for n=4: ..3..1..0..0....0..3..2..1....0..3..3..3....0..0..1..0....2..3..2..0 ..1..0..2..1....1..0..3..2....2..2..2..2....2..0..0..0....1..2..1..1 ..2..1..3..2....2..1..0..3....1..1..1..2....0..0..1..0....1..0..3..2 ..3..2..0..3....1..3..2..0....1..2..1..1....1..0..1..3....3..1..0..3 ..0..3..1..0....1..0..3..2....2..2..0..1....3..0..1..3....2..2..1..0 ..#incr.: 2.....#incr.: 2.....#incr.: 1.....#incr.: 1.....#incr.: 2 CROSSREFS Sequence in context: A206104 A205654 A206183 * A254029 A129152 A223185 Adjacent sequences: A205362 A205363 A205364 * A205366 A205367 A205368 KEYWORD nonn AUTHOR R. H. Hardin, Jan 26 2012 STATUS approved

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Last modified March 21 23:08 EDT 2023. Contains 361412 sequences. (Running on oeis4.)