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A206538 Number of (n+1) X 5 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. 1
6462, 91674, 1419921, 22647363, 369441411, 6062752884, 100259781690, 1661323349889, 27605998634595, 459099135099705, 7643138171689107, 127288176601858407, 2120715004190021418, 35337966665490442968 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A206542.
LINKS
FORMULA
Empirical: a(n) = 48*a(n-1) -511*a(n-2) -10370*a(n-3) +248056*a(n-4) -15316*a(n-5) -39319672*a(n-6) +229682760*a(n-7) +3101791467*a(n-8) -34508533564*a(n-9) -110666023609*a(n-10) +2737134599902*a(n-11) -1944425563980*a(n-12) -138867498519160*a(n-13) +454259584497554*a(n-14) +4717128238889588*a(n-15) -27608187524865471*a(n-16) -102274180218808104*a(n-17) +1043996333252379617*a(n-18) +943477829221661450*a(n-19) -28016705891644261101*a(n-20) +23261406089897667612*a(n-21) +556274293200286508015*a(n-22) -1247499078646449613354*a(n-23) -8197520625284603552352*a(n-24) +30956284714277574520008*a(n-25) +85788210608452981488138*a(n-26) -530512013424753881671808*a(n-27) -516952150443611363033893*a(n-28) +6860471761383109750519032*a(n-29) -1196032896481459102230229*a(n-30) -69021658631054450401808738*a(n-31) +74690607572116965833811745*a(n-32) +543183882272307214778119452*a(n-33) -1068832023445491188455812561*a(n-34) -3282566901670169285954654670*a(n-35) +10121075007155708620346009855*a(n-36) +14208182659535945876339618952*a(n-37) -72428793981671823713894486303*a(n-38) -32121231858726786079218334254*a(n-39) +408561833169761505869290715091*a(n-40) -97308349221930835302587736596*a(n-41) -1841328547308946011319804982233*a(n-42) +1496086757780849194670707779590*a(n-43) +6607513220724960922143316804746*a(n-44) -9213989262423698472453477802160*a(n-45) -18434504153086579417527704082968*a(n-46) +39442327691765676067799592211840*a(n-47) +37228177774441591640934398952255*a(n-48) -129534694907220060624836181675896*a(n-49) -40411622888314093343038080005821*a(n-50) +336731593320828848352682392100038*a(n-51) -48000975598652004135942114782295*a(n-52) -697940645406503285491347495692428*a(n-53) +366061991293902005485294586186825*a(n-54) +1143881348647212863635157279370810*a(n-55) -1036179391820524735349062785273390*a(n-56) -1441003912455915547339751581754552*a(n-57) +1994307396560010385145001622894484*a(n-58) +1293057280966202915929507409775364*a(n-59) -2880450359808654988899259730426769*a(n-60) -610274996777128366435342681486352*a(n-61) +3206204387719753625082069162148931*a(n-62) -309572560120321475994259000367938*a(n-63) -2750925460606335489132885799897064*a(n-64) +966596217324838111166926215121460*a(n-65) +1784942039300871554423500119764452*a(n-66) -1080019864206003990836334339795984*a(n-67) -834157860762937714117084886744187*a(n-68) +782078830446037238134570376553724*a(n-69) +244721848194879595446885644836151*a(n-70) -400312061002262348775412251599866*a(n-71) -17194469109658921524060267687464*a(n-72) +146280505270289981074600431916512*a(n-73) -22008582387456425838893453087556*a(n-74) -37124185790721383988932283290328*a(n-75) +11956439527550103074989437626432*a(n-76) +6042730178489268592604840524544*a(n-77) -3255912945245123127193382837184*a(n-78) -479699417345292019690689572736*a(n-79) +535241841461358252995313057856*a(n-80) -20333215259394138725609269120*a(n-81) -52468101920892556966516786688*a(n-82) +8870143959963568197241974784*a(n-83) +2677763029393438955566882816*a(n-84) -861537094407627597994369024*a(n-85) -32179558459945322846375936*a(n-86) +37442235660396113187921920*a(n-87) -2725899345794501790760960*a(n-88) -649016325155956378959872*a(n-89) +101959108007770572980224*a(n-90) +933451572057030000640*a(n-91) -944251229793536704512*a(n-92) +47259023090814812160*a(n-93) for n>96.
EXAMPLE
Some solutions for n=4:
..1..2..1..1..1....1..0..0..2..2....1..2..2..0..1....0..2..1..2..2
..1..1..1..2..2....1..0..2..2..0....1..2..0..0..0....2..2..1..1..1
..1..2..2..2..0....0..0..0..2..2....1..2..0..1..0....0..2..2..1..0
..1..1..1..1..1....1..0..2..2..0....1..2..0..0..0....0..2..1..1..1
..1..2..1..0..2....1..0..0..2..2....2..2..0..1..0....2..2..1..2..1
CROSSREFS
Sequence in context: A256090 A067928 A166223 * A288083 A232134 A318629
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 09 2012
STATUS
approved

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Last modified August 31 19:58 EDT 2024. Contains 375573 sequences. (Running on oeis4.)