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A207794 Number of (n+1) X 4 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. 1
20800, 643968, 22773384, 748331168, 26462419832, 873499447968, 30836924266632, 1019966379785120, 35939580367712584, 1190938356686048640, 41888998756741231064, 1390496424878722461184, 48825685008584246539256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A207799.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +1103*a(n-2) +73*a(n-3) +36987*a(n-4) -54233*a(n-5) -3817949*a(n-6) -6817445*a(n-7) -213074168*a(n-8) -229154132*a(n-9) +7991615255*a(n-10) +20456295423*a(n-11) +337543933972*a(n-12) +170945829612*a(n-13) -9307540750828*a(n-14) -19913074248563*a(n-15) -163792957797191*a(n-16) +50006918975839*a(n-17) +4346310006489836*a(n-18) +4364649893589402*a(n-19) -6595474341152257*a(n-20) +22436450785606258*a(n-21) -324218079537818507*a(n-22) -983474784900029220*a(n-23) +1795861875427773031*a(n-24) +3937227844608890177*a(n-25) +7535512892718181728*a(n-26) +29576223810064859353*a(n-27) -56590097284654588533*a(n-28) -253210392208383470029*a(n-29) -484368595467945865019*a(n-30) -195293309106760394910*a(n-31) +2812549748643197311334*a(n-32) +5596665137552409926309*a(n-33) +10716984194971112997762*a(n-34) +2788179241852411738592*a(n-35) -63905866913315160720814*a(n-36) -55564054472637775093985*a(n-37) +10609142597184524175952*a(n-38) -174210099644162545203313*a(n-39) -140337525164233763543804*a(n-40) -113152652351092224847479*a(n-41) +141917234505051216263121*a(n-42) +3663940406654367526168326*a(n-43) +6472773414979922974399406*a(n-44) +4424208660871769391063692*a(n-45) -5671908917312200001774292*a(n-46) -31082962234277722343974384*a(n-47) -24237335556055050616775600*a(n-48) +46216538918974708234577144*a(n-49) +93697986794545493662279312*a(n-50) +35397408401186819296455792*a(n-51) -120298625386015601559309752*a(n-52) -259630905649767205169953664*a(n-53) -117144346701398224709803728*a(n-54) +232698329186069374271070736*a(n-55) +277187301561277028182234224*a(n-56) +203842532146675388375805280*a(n-57) -43161363425119382303219360*a(n-58) -261866789273224625485579072*a(n-59) -79904894784330618213540672*a(n-60) -238066072096185547132373888*a(n-61) -288723200157991942878294656*a(n-62) +120999970798786071429311488*a(n-63) +407575408087979882209569280*a(n-64) +435901699770750115053728768*a(n-65) +134652909861592752976471040*a(n-66) -187747873465726628394852352*a(n-67) -203463362432153006479093760*a(n-68) -20069624584608052837457920*a(n-69) +89135062463239618378547200*a(n-70) +45884289701961960763064320*a(n-71) +12799223258593651609763840*a(n-72) -5624897229239655845462016*a(n-73) -24031169966676230889537536*a(n-74) -1769586913646689585201152*a(n-75) +9003293239809510477922304*a(n-76) +193187236970504153726976*a(n-77) -1111013626542125505052672*a(n-78) +39258072097833231581184*a(n-79) -71733051337213531389952*a(n-80) +13982150008963797614592*a(n-81) -1699083497952719667200*a(n-82) -4124901021137722408960*a(n-83) -593380199959361486848*a(n-84) -37668951708256960512*a(n-85) for n>86.

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Sequence in context: A252331 A104903 A235952 * A256840 A031813 A043654

Adjacent sequences:  A207791 A207792 A207793 * A207795 A207796 A207797

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 20 2012

STATUS

approved

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Last modified January 22 08:58 EST 2018. Contains 298042 sequences.