The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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 * A362725 A193612 A195949
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 02 2011
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 16 14:39 EDT 2024. Contains 372554 sequences. (Running on oeis4.)