A296799 - OEIS

A296799

Number of nX3 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.

3, 15, 47, 164, 694, 2605, 10149, 40768, 159911, 632786, 2515824, 9955497, 39474474, 156620340, 620862380, 2462240910, 9765571527, 38725242932, 153578388401, 609071232426, 2415424423665, 9579148427643, 37989184815705, 150657535938632

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A296804.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +7*a(n-2) +26*a(n-3) +a(n-4) -69*a(n-5) -154*a(n-6) -144*a(n-7) +16*a(n-8) +166*a(n-9) +183*a(n-10) +6*a(n-11) -14*a(n-12) -73*a(n-13) +16*a(n-14) -a(n-15) +2*a(n-16)

EXAMPLE

Some solutions for n=7

..0..0..0. .0..0..0. .1..0..1. .1..1..0. .0..0..0. .0..0..0. .0..1..1

..0..0..1. .0..0..0. .0..1..0. .1..1..0. .0..1..1. .0..0..0. .0..1..1

..0..0..1. .0..1..0. .1..1..0. .0..0..1. .0..1..1. .1..1..0. .1..0..0

..0..0..0. .0..1..0. .1..0..0. .0..0..0. .0..0..1. .1..1..0. .0..0..1

..0..0..0. .0..1..1. .1..0..0. .1..1..0. .0..0..1. .1..0..0. .0..1..0

..1..1..0. .0..1..0. .0..0..1. .0..0..0. .0..0..0. .0..1..1. .0..1..1

..0..0..0. .0..1..0. .0..1..0. .0..0..0. .0..0..0. .1..0..0. .0..1..1

CROSSREFS

Cf. A296804.

Sequence in context: A226030 A232077 A163383 * A328111 A135622 A316853

Adjacent sequences: A296796 A296797 A296798 * A296800 A296801 A296802

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 20 2017

STATUS

approved