A268807 Number of nX6 0..2 arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.

336, 1972, 14308, 135912, 1316226, 12432856, 115671422, 1062318610, 9657289546, 87052567448, 779167091050, 6932066063186, 61353778718298, 540579543332426, 4744132651089162, 41488807479780664, 361699301828001722

Offset

1,1

Comments

Column 6 of A268809.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +83*a(n-2) +210*a(n-3) -1918*a(n-4) -13444*a(n-5) -27431*a(n-6) +22868*a(n-7) +172414*a(n-8) +91292*a(n-9) -572846*a(n-10) -576908*a(n-11) +1569339*a(n-12) +1662464*a(n-13) -4129647*a(n-14) -2739590*a(n-15) +10005684*a(n-16) +128072*a(n-17) -18820309*a(n-18) +14239344*a(n-19) +18275195*a(n-20) -39512592*a(n-21) +16595129*a(n-22) +32600294*a(n-23) -63035320*a(n-24) +55225574*a(n-25) -27556538*a(n-26) +5959238*a(n-27) +1367780*a(n-28) -935764*a(n-29) -205936*a(n-30) +253428*a(n-31) -6946*a(n-32) -44268*a(n-33) +5192*a(n-34) +6896*a(n-35) -1085*a(n-36) -848*a(n-37) +74*a(n-38) +94*a(n-39) +3*a(n-40) -6*a(n-41) -a(n-42) for n>45

Example

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

Crossrefs

Cf. A268809.

Sequence in context: A059467 A348343 A237862 * A159206 A251066 A269050

Adjacent sequences: A268804 A268805 A268806 * A268808 A268809 A268810

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved