A232020 Number of nX5 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

51, 716, 52680, 3668759, 266779524, 19227454407, 1386576216443, 100026008988909, 7214505515214571, 520380715850845302, 37534653006701646356, 2707344505456485382130, 195278730937825588935157

Offset

1,1

Comments

Column 5 of A232023

Links

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

Formula

Empirical: a(n) = 51*a(n-1) +1709*a(n-2) -3322*a(n-3) -709171*a(n-4) -2253929*a(n-5) +87204864*a(n-6) +438193140*a(n-7) -5083075630*a(n-8) -21508462382*a(n-9) +126850541368*a(n-10) +406583965722*a(n-11) -1654793760869*a(n-12) -3605448973767*a(n-13) +12973680473891*a(n-14) +18876214872304*a(n-15) -70565885486364*a(n-16) -93710907270316*a(n-17) +270652747878947*a(n-18) +384062407194770*a(n-19) -420281252224531*a(n-20) -716290299119857*a(n-21) -266277634901151*a(n-22) +2127547571495*a(n-23) +377201492733031*a(n-24) +276656861200522*a(n-25) -68333741627600*a(n-26) -14328379159582*a(n-27) -49672744631068*a(n-28) -68111539250695*a(n-29) +25054413840127*a(n-30) +16739714021218*a(n-31) -3993304936259*a(n-32) +2872789395548*a(n-33) -93742451004*a(n-34) -1672268758969*a(n-35) +131609119929*a(n-36) +279643304785*a(n-37) -19537641382*a(n-38) -23945224836*a(n-39) +1053476640*a(n-40) +898919424*a(n-41) for n>42

Example

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

Crossrefs

Sequence in context: A160829 A160835 A231750 * A210176 A224474 A201140

Adjacent sequences: A232017 A232018 A232019 * A232021 A232022 A232023

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved