A236315 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock

256, 2744, 29670, 319908, 3455790, 37315466, 402944837, 4350716716, 46978581048, 507265724940, 5477377343876, 59143594434228, 638621704015544, 6895716020234136, 74458666280964288, 803990685332872440

Offset

1,1

Comments

Column 1 of A236319

Links

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

Formula

Empirical: a(n) = 300*a(n-3) +4564*a(n-4) +28820*a(n-5) +216768*a(n-6) +1031624*a(n-7) +4276184*a(n-8) +15735024*a(n-9) +32244972*a(n-10) +44841848*a(n-11) -168638080*a(n-12) -1418426096*a(n-13) -4394532000*a(n-14) -12233484448*a(n-15) -14152039936*a(n-16) +31757569408*a(n-17) +163131522176*a(n-18) +568598973184*a(n-19) +925201071616*a(n-20) -25721294080*a(n-21) -2879467072512*a(n-22) -11200138949632*a(n-23) -18962812807168*a(n-24) -4447890870272*a(n-25) +32571511898112*a(n-26) +105701567598592*a(n-27) +146966851649536*a(n-28) -5012524367872*a(n-29) -219492502077440*a(n-30) -369306855407616*a(n-31) -308262862061568*a(n-32) +256508641935360*a(n-33) +558195995049984*a(n-34) +102884746199040*a(n-35) -173582655160320*a(n-36) -60614806339584*a(n-37)

Example

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

Crossrefs

Sequence in context: A236596 A236593 A236319 * A205422 A205417 A236127

Adjacent sequences: A236312 A236313 A236314 * A236316 A236317 A236318

Keyword

nonn

Author

R. H. Hardin, Jan 22 2014

Status

approved