A241331 Number of 4Xn 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

15, 1030, 95144, 8949808, 842185933, 79254376889, 7458275852500, 701865426977495, 66049458199029896, 6215623102818695436, 584924867215713568482, 55044698604373555829472, 5180013732180082600538625

Offset

1,1

Comments

Row 4 of A241328

Links

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

Formula

Empirical: a(n) = 122*a(n-1) -2812*a(n-2) +16208*a(n-3) +159379*a(n-4) -2909948*a(n-5) +19694228*a(n-6) -62373244*a(n-7) -58088806*a(n-8) +1439148868*a(n-9) -5096351523*a(n-10) -3055067884*a(n-11) +59968811184*a(n-12) -73039493422*a(n-13) -301989142269*a(n-14) +945040962120*a(n-15) -745735386949*a(n-16) -844626880720*a(n-17) +2521153036681*a(n-18) -1929013979294*a(n-19) -1045472186222*a(n-20) +1583296164696*a(n-21) +1956836924036*a(n-22) -2355373350354*a(n-23) -3690081020076*a(n-24) +7567309408680*a(n-25) -2089000784295*a(n-26) -4919238685854*a(n-27) +4312880045136*a(n-28) -566304913242*a(n-29) -920941508979*a(n-30) +911638855890*a(n-31) -424728198324*a(n-32) -322761834*a(n-33) +96291263349*a(n-34) -53052692148*a(n-35) +11321287623*a(n-36) for n>38

Example

Some solutions for n=3
..0..1..2....0..1..2....0..1..2....0..1..0....0..1..2....0..1..2....0..1..2
..0..1..0....0..2..0....1..0..2....2..3..2....2..0..1....3..0..1....3..2..1
..1..0..1....0..1..2....0..3..0....1..2..0....1..3..1....2..3..2....1..0..3
..0..2..1....3..2..1....3..0..1....2..1..0....3..0..2....3..1..0....3..2..0

Crossrefs

Sequence in context: A019282 A082158 A064625 * A205602 A370735 A233509

Adjacent sequences: A241328 A241329 A241330 * A241332 A241333 A241334

Keyword

nonn

Author

R. H. Hardin, Apr 19 2014

Status

approved