A280395 Number of nX5 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

8, 34, 769, 15476, 292622, 5338004, 95102542, 1664838008, 28747146050, 490958066148, 8309711235070, 139594601552248, 2330194531344066, 38685611296842452, 639226798432600750, 10518756259067233176

Offset

1,1

Comments

Column 5 of A280398.

Links

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

Formula

Empirical: a(n) = 62*a(n-1) -1689*a(n-2) +27708*a(n-3) -317054*a(n-4) +2742180*a(n-5) -18792682*a(n-6) +105117296*a(n-7) -489211669*a(n-8) +1918107326*a(n-9) -6385629933*a(n-10) +18129670212*a(n-11) -43970324140*a(n-12) +91044631344*a(n-13) -160522270160*a(n-14) +239886399040*a(n-15) -301819629440*a(n-16) +316752389376*a(n-17) -273752283136*a(n-18) +191350312960*a(n-19) -105370821632*a(n-20) +43909677056*a(n-21) -12957122560*a(n-22) +2392850432*a(n-23) -205520896*a(n-24) for n>25

Example

Some solutions for n=4
..0..0..1..1..1. .0..0..1..1..2. .0..0..1..1..0. .0..0..0..0..0
..1..1..1..2..2. .0..1..1..2..2. .0..1..1..0..0. .1..1..1..1..0
..2..2..2..2..2. .1..2..1..1..2. .0..0..0..1..1. .0..0..0..0..1
..1..1..1..1..1. .1..1..1..2..2. .2..2..1..1..1. .1..1..1..1..1

Crossrefs

Cf. A280398.

Sequence in context: A222796 A203445 A318244 * A158991 A265161 A303805

Adjacent sequences: A280392 A280393 A280394 * A280396 A280397 A280398

Keyword

nonn

Author

R. H. Hardin, Jan 02 2017

Status

approved