A281341 Number of nX5 0..1 arrays with no element equal to more than three of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

16, 286, 544, 1892, 6256, 19700, 60540, 185696, 569832, 1754082, 5403379, 16646190, 51267002, 157861472, 486119627, 1497107259, 4610783285, 14200231640, 43733382450, 134688636107, 414812122750, 1277538577455, 3934572169317

Offset

1,1

Comments

Column 5 of A281344.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +11*a(n-3) -24*a(n-5) +48*a(n-6) -119*a(n-7) +168*a(n-8) -132*a(n-9) +31*a(n-10) +127*a(n-11) -446*a(n-12) +750*a(n-13) -732*a(n-14) +777*a(n-15) -139*a(n-16) -357*a(n-17) +864*a(n-18) -1281*a(n-19) +1770*a(n-20) -1373*a(n-21) +1071*a(n-22) -212*a(n-23) -1440*a(n-24) -622*a(n-25) -1426*a(n-26) +2007*a(n-27) -475*a(n-28) +389*a(n-29) -705*a(n-30) -1814*a(n-31) +106*a(n-32) +727*a(n-33) +837*a(n-34) +1338*a(n-35) +994*a(n-36) +473*a(n-37) +246*a(n-38) -150*a(n-39) -417*a(n-40) -458*a(n-41) -254*a(n-42) -226*a(n-43) -110*a(n-44) -14*a(n-45) +28*a(n-46) +12*a(n-47) +8*a(n-48) +8*a(n-49) for n>55

Example

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

Crossrefs

Cf. A281344.

Sequence in context: A189955 A038758 A240336 * A298284 A299356 A299177

Adjacent sequences: A281338 A281339 A281340 * A281342 A281343 A281344

Keyword

nonn

Author

R. H. Hardin, Jan 20 2017

Status

approved