A269033 Number of nX6 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

240, 2208, 44760, 785124, 13031664, 208867428, 3266423688, 50155587360, 759280601376, 11364951702132, 168545724611088, 2480433137331636, 36267257458624740, 527333427504496308, 7630684978884541020

Offset

1,1

Comments

Column 6 of A269035.

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -436*a(n-2) +1854*a(n-3) +340*a(n-4) -19128*a(n-5) +23849*a(n-6) +56184*a(n-7) -108224*a(n-8) -40816*a(n-9) +160400*a(n-10) -34136*a(n-11) -83203*a(n-12) +42628*a(n-13) +6468*a(n-14) -6334*a(n-15) +204*a(n-16) +240*a(n-17) -25*a(n-18) for n>19

Example

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

Crossrefs

Cf. A269035.

Sequence in context: A205257 A049335 A004009 * A180277 A357257 A005950

Adjacent sequences: A269030 A269031 A269032 * A269034 A269035 A269036

Keyword

nonn

Author

R. H. Hardin, Feb 18 2016

Status

approved