A202885 Number of nX4 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.
22, 1849, 109119, 6092872, 348151747, 19914296913, 1137589582096, 64992189188797, 3713325091122745, 212156302986486914, 12121270553957772787, 692534079965581463725, 39567093279061401381682, 2260617527909089482464661
Offset: 1
Keywords
Examples
Some solutions for n=2 ..0..2..2..0....2..0..2..2....0..0..1..1....2..2..0..0....1..2..1..1 ..0..0..1..0....2..1..1..1....0..0..1..1....1..1..1..0....0..2..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 4 of A202889.
Formula
Empirical: a(n) = 58*a(n-1) -409*a(n-2) +19812*a(n-3) -7455*a(n-4) +2592909*a(n-5) +12335100*a(n-6) -16921246*a(n-7) -80782159*a(n-8) -4256903692*a(n-9) -15824503819*a(n-10) +51444732070*a(n-11) +665973079452*a(n-12) +1722193958142*a(n-13) -9381699323187*a(n-14) -52231180624458*a(n-15) -96373950069860*a(n-16) +536481249758489*a(n-17) +2646445223858022*a(n-18) -2670449971660545*a(n-19) -23685322388362288*a(n-20) +5273037676253028*a(n-21) +123562120872374900*a(n-22) +14554488540108224*a(n-23) -423772107328693168*a(n-24) -137361850647059616*a(n-25) +951983290636001856*a(n-26) +456183082446901248*a(n-27) -1309658113153668096*a(n-28) -798409204703133696*a(n-29) +997927647389908992*a(n-30) +720498553714114560*a(n-31) -407490029986775040*a(n-32) -334751276287918080*a(n-33) +70526354545704960*a(n-34) +67405719388815360*a(n-35)