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A203097 Number of nX4 0..3 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor 1
50, 12260, 2029744, 308642476, 48260497186, 7574530822364, 1186165852092876, 185750876557274124, 29093266517684009316, 4556642267438188534864, 713660632715579444617080, 111773747828249613604721774 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A203101

LINKS

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

FORMULA

Empirical: a(n) = 170*a(n-1) -5371*a(n-2) +524276*a(n-3) -5758970*a(n-4) +584951619*a(n-5) +5871397968*a(n-6) +70742341749*a(n-7) +1399717049545*a(n-8) -78651649552388*a(n-9) -885157054901114*a(n-10) -8441801609906661*a(n-11) +96251769910356344*a(n-12) +6341132097048812311*a(n-13) +30597940591056081005*a(n-14) -331076016106214318637*a(n-15) -14831911971440188385453*a(n-16) -119958657780702265533617*a(n-17) +754630406516715918122955*a(n-18) +16934776485501437255090025*a(n-19) +179823272987679038001293840*a(n-20) -456872245343627168280320152*a(n-21) -30717659610601082816834373662*a(n-22) -83452925457132931754276247972*a(n-23) +2338690982829342710171408405211*a(n-24) +11139236040352625234994652336440*a(n-25) -105708523301917522370639798135282*a(n-26) -728259637687728273215976617714932*a(n-27) +2573818106293341434885788987693978*a(n-28) +30668803937635393202594893439074353*a(n-29) +10315570067146353745425451457539623*a(n-30) -857802696865732285344605440964863575*a(n-31) -3732761980443961400163636948197779818*a(n-32) +14301926422214835006174950020390082456*a(n-33) +171179747395433303790635892676418756814*a(n-34) -43728410760794753156773990995827795310*a(n-35) -4785887600160044577851658860797384289958*a(n-36) -4975116006153329193324125867256822146280*a(n-37) +95655415799557576995045187094914007865632*a(n-38) +165559068357194108304259947135606228327968*a(n-39) -1444014245454905313572117651340082055210304*a(n-40) -3155709614695537986456705480418770435137472*a(n-41) +16831078514265206519313621987425273663884544*a(n-42) +42676935211727650125188540124304276676521216*a(n-43) -152399842092459546052925075938372301298553344*a(n-44) -434119486442507689908158373812135741959431168*a(n-45) +1068287203851848508446745128854308241892333568*a(n-46) +3390728916789426395843459814345485641053683712*a(n-47) -5733552049723334871959522212709778911088033792*a(n-48) -20463932904385159655783764525392154591847546880*a(n-49) +23084174148713263341434956597967661394368135168*a(n-50) +95384654939025532773953342532621195991262429184*a(n-51) -67079752142190185225836605754737365156719755264*a(n-52) -341750523133566810854394001760168874626204565504*a(n-53) +128488545902172312200851173916995065029135958016*a(n-54) +933361335220959827009381501301392156693750611968*a(n-55) -111645952791081891894387741598087718319402516480*a(n-56) -1918261191664429631109935391140008968037205016576*a(n-57) -161450402522367201927485605986961655984289742848*a(n-58) +2910726662762645166324017911979940391124541112320*a(n-59) +723165909329666126069819973559546887884834340864*a(n-60) -3171882970623200867855347713392249556376693506048*a(n-61) -1214073916685043702156357629856191012399392751616*a(n-62) +2386039408338991571417700575355326273628577726464*a(n-63) +1180146862121525068288483648703883166931214139392*a(n-64) -1168038681302919164275931509216088240250811318272*a(n-65) -690163216232981431818820864374684956992022249472*a(n-66) +334645662749592704855344790263170945431466147840*a(n-67) +227151098301110780980585390679051500067361914880*a(n-68) -42570640611604616233603539078994723822632960000*a(n-69) -32694251989712345267407518012667947895782113280*a(n-70)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Sequence in context: A229753 A276102 A152258 * A028465 A252630 A034205

Adjacent sequences:  A203094 A203095 A203096 * A203098 A203099 A203100

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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Last modified October 26 11:29 EDT 2020. Contains 338027 sequences. (Running on oeis4.)