A283854 Number of nX5 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors.

32, 896, 19220, 456316, 10741381, 252014450, 5921518755, 139111379622, 3268007622399, 76773433462839, 1803586222018838, 42370441245079992, 995380616617115988, 23383813210579507551, 549340337215663375578

Offset

1,1

Comments

Column 5 of A283857.

Links

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

Formula

Empirical: a(n) = 23*a(n-1) -20*a(n-2) +871*a(n-3) -3216*a(n-4) +12410*a(n-5) -196251*a(n-6) +18223*a(n-7) -111951*a(n-8) +10566019*a(n-9) -379758*a(n-10) -29318597*a(n-11) -68873066*a(n-12) -13075275*a(n-13) +702265246*a(n-14) -1680199852*a(n-15) +1502739869*a(n-16) -1131342481*a(n-17) +1656336978*a(n-18) -3098757750*a(n-19) -2612258372*a(n-20) +7642998790*a(n-21) -2471884270*a(n-22) -4196471650*a(n-23) -11119947863*a(n-24) +11529885934*a(n-25) +6320588578*a(n-26) -10041080481*a(n-27) -6827068116*a(n-28) +829785163*a(n-29) +6155224868*a(n-30) -3673842669*a(n-31) -1264238338*a(n-32) +3187856436*a(n-33) -455416551*a(n-34) -670910396*a(n-35) +183630468*a(n-36) +38727044*a(n-37) +18800520*a(n-38) -26394168*a(n-39) +2968096*a(n-40) +1302416*a(n-41) -126240*a(n-42) +69696*a(n-43) -30464*a(n-44) +512*a(n-45)

Example

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

Crossrefs

Cf. A283857.

Sequence in context: A240482 A240634 A222606 * A160314 A241223 A283412

Adjacent sequences: A283851 A283852 A283853 * A283855 A283856 A283857

Keyword

nonn

Author

R. H. Hardin, Mar 17 2017

Status

approved