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A196425 Number of nX3 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than itself 1
5, 123, 1377, 27583, 452252, 7435275, 126914055, 2139217341, 36014080137, 607371115906, 10238277382702, 172594334630693, 2909740028851913, 49052113415867629, 826921389601381912, 13940364946188128729 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A196430

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 7*a(n-1) +59*a(n-2) +1240*a(n-3) +7134*a(n-4) +45813*a(n-5) +52012*a(n-6) -1303266*a(n-7) -12415126*a(n-8) -64452475*a(n-9) -124892734*a(n-10) +555102192*a(n-11) +5577887244*a(n-12) +22510069416*a(n-13) +52821713641*a(n-14) +4514453057*a(n-15) -769196407275*a(n-16) -3975319059457*a(n-17) -10928937825064*a(n-18) -8184963862623*a(n-19) +60099846809532*a(n-20) +320902538936921*a(n-21) +802944258689950*a(n-22) +886549437779610*a(n-23) -1243096056478324*a(n-24) -9056632638134456*a(n-25) -24822980643257320*a(n-26) -44758015423385920*a(n-27) -58193916572955003*a(n-28) -26727126487625583*a(n-29) +92604400861130050*a(n-30) +277685207750139293*a(n-31) +555753967681066060*a(n-32) +820352510306350681*a(n-33) +850197971230958594*a(n-34) +840907126614742401*a(n-35) -1859084586134007*a(n-36) -1732088411296228240*a(n-37) -3724336104439919213*a(n-38) -7175194029357526271*a(n-39) -4314282066536900155*a(n-40) -892512970609952380*a(n-41) +1195082118377995392*a(n-42) -546738071526261810*a(n-43) -2293158027679588154*a(n-44) +24061970382216420901*a(n-45) -11579133392580429451*a(n-46) +19516243218729358498*a(n-47) +10294647513963950148*a(n-48) -15419940857766451775*a(n-49) +30906676892268902569*a(n-50) -24553669513605582247*a(n-51) +4550018579790507785*a(n-52) +10711447413507901595*a(n-53) -14903380117807281180*a(n-54) +15076779404444543187*a(n-55) -6088838774412026828*a(n-56) -124303686465148055*a(n-57) +6532503565530832896*a(n-58) -6717662459472842704*a(n-59) +3109082823641159696*a(n-60) +82824650553447260*a(n-61) -1351083162954346522*a(n-62) +1281316460811230955*a(n-63) -525803294387766692*a(n-64) -23052876970976355*a(n-65) +188964197759300226*a(n-66) -127348932951847855*a(n-67) +32222243568256229*a(n-68) +9756018600770318*a(n-69) -16353866121147366*a(n-70) +6073725961933607*a(n-71) +339473832408874*a(n-72) -1363164950207158*a(n-73) +389135878269988*a(n-74) +57144769441460*a(n-75) -49988375272016*a(n-76) +6570977798379*a(n-77) +1994993815625*a(n-78) -608654356288*a(n-79) +17370039626*a(n-80) +22586291716*a(n-81) -872457806*a(n-82) -444571492*a(n-83) -88316872*a(n-84) +8751776*a(n-85) -544768*a(n-86) +131328*a(n-87) -14976*a(n-88)

EXAMPLE

Some solutions for n=4

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

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

..2..4..1....0..4..0....3..0..2....0..3..2....2..1..3....0..0..0....2..4..0

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

CROSSREFS

Sequence in context: A282882 A208394 A320978 * A193612 A195949 A067081

Adjacent sequences:  A196422 A196423 A196424 * A196426 A196427 A196428

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 02 2011

STATUS

approved

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Last modified September 19 12:50 EDT 2021. Contains 347556 sequences. (Running on oeis4.)