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A203501 Number of nX3 0..6 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1
1, 1554, 296814, 31795165, 3024812086, 312327861320, 33576251318216, 3552738313671517, 371627598697231207, 38954651468128481162, 4095443084531625171015, 430523405943835052803002 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A203506

LINKS

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

FORMULA

Empirical: a(n) = 343*a(n-1) -54397*a(n-2) +5584575*a(n-3) -421672086*a(n-4) +24713807672*a(n-5) -1154846405106*a(n-6) +43861784570466*a(n-7) -1378307837964113*a(n-8) +36456839734008141*a(n-9) -825045304757057882*a(n-10) +16218113679475486244*a(n-11) -280699939770115939790*a(n-12) +4328018306485461642273*a(n-13) -60012795120234169201509*a(n-14) +753526635496695008660365*a(n-15) -8604706718004079733648882*a(n-16) +89557309591363122687305184*a(n-17) -850150271887584384365441820*a(n-18) +7360414216024542701536338198*a(n-19) -58109452633721832403342450317*a(n-20) +418375128852606988855736794493*a(n-21) -2748409410290710262495857207450*a(n-22) +16489605807497934112944745100625*a(n-23) -90476447927072611910458377533757*a(n-24) +454736843671896348369837930712797*a(n-25) -2097267063901820041002525125307354*a(n-26) +8892002461302891393673859036780024*a(n-27) -34717232809663554739639908833991976*a(n-28) +125014289051370224981652571605336615*a(n-29) -415721504179450678938036808621016866*a(n-30) +1277920083671229259925045391111483107*a(n-31) -3633781792450291129793976054142504422*a(n-32) +9561713617376667316852663565690429538*a(n-33) -23285689113404321880963338408265043296*a(n-34) +52478037827082154921056108746729449308*a(n-35) -109415059024204021453584301787643181232*a(n-36) +210953006760515409192829111318026643132*a(n-37) -375852976032342334858034597607771317616*a(n-38) +618285050150162776178610690795719351140*a(n-39) -937970761043980792796512284291731321232*a(n-40) +1310269100638525904794947996722301036080*a(n-41) -1682160054452525647322732242151564248992*a(n-42) +1980062151588864729570381073124713391120*a(n-43) -2130860903822518305119921874964313205504*a(n-44) +2089488646378866789752796522760565602944*a(n-45) -1859757605276250095017082107025520218112*a(n-46) +1495884703096428201385154568696060148224*a(n-47) -1081967692523165603466672360606357596160*a(n-48) +699805757154719277508159390524358779648*a(n-49) -402190266655942571520992580163770746880*a(n-50) +203896374184903378940303321472011771904*a(n-51) -90408954232250177845509944882149367808*a(n-52) +34707538508776195354431300445579223040*a(n-53) -11393289741237615075272064092033679360*a(n-54) +3148394792137833496372128351667814400*a(n-55) -717579424730596312560663563900682240*a(n-56) +131181664231739363427322473901916160*a(n-57) -18472110879305228859061982488166400*a(n-58) +1879075002723173469728259755212800*a(n-59) -122799874551668401578052681728000*a(n-60) +3868581831052076639343083520000*a(n-61) for n>63

EXAMPLE

Some solutions for n=5

..1..1..3....4..2..6....1..2..0....1..4..2....2..0..5....1..5..0....5..5..5

..6..6..3....4..4..6....2..3..0....1..4..2....2..4..5....2..5..2....1..6..6

..1..6..4....5..0..6....0..5..5....1..4..5....6..2..6....2..5..5....2..6..6

..4..2..1....5..6..6....3..5..5....5..5..5....6..6..6....1..4..3....4..4..1

..4..4..0....3..3..6....0..2..0....3..4..5....6..6..6....2..4..4....1..4..1

CROSSREFS

Sequence in context: A252045 A184683 A235306 * A229434 A022222 A166606

Adjacent sequences:  A203498 A203499 A203500 * A203502 A203503 A203504

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 02 2012

STATUS

approved

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Last modified January 25 19:00 EST 2022. Contains 350572 sequences. (Running on oeis4.)