A282372 Number of nX3 0..1 arrays with no 1 equal to more than four of its king-move neighbors, with the exception of exactly two elements.

0, 1, 20, 309, 3499, 33692, 309493, 2721044, 23193721, 193520569, 1587628975, 12850623027, 102883527733, 816204241881, 6425192293124, 50243446084946, 390619259367639, 3021431489931709, 23265194042723056, 178420043485112107

Offset

1,3

Comments

Column 3 of A282377.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -42*a(n-2) -112*a(n-3) -540*a(n-4) +2619*a(n-5) +10088*a(n-6) +24930*a(n-7) -11745*a(n-8) -121823*a(n-9) -302973*a(n-10) -109557*a(n-11) +626061*a(n-12) +1677252*a(n-13) +1111167*a(n-14) -1607654*a(n-15) -4968711*a(n-16) -3987444*a(n-17) +1869096*a(n-18) +8096727*a(n-19) +7157916*a(n-20) -59475*a(n-21) -6680688*a(n-22) -6454986*a(n-23) -1842524*a(n-24) +1900140*a(n-25) +2314704*a(n-26) +1190024*a(n-27) +304272*a(n-28) +37152*a(n-29) +1728*a(n-30)

Example

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

Crossrefs

Cf. A282377.

Sequence in context: A016190 A016188 A006300 * A361293 A240799 A281931

Adjacent sequences: A282369 A282370 A282371 * A282373 A282374 A282375

Keyword

nonn

Author

R. H. Hardin, Feb 13 2017

Status

approved