A281833 Number of nX4 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

8, 121, 926, 8240, 74240, 663300, 5954670, 53530609, 481128867, 4324987861, 38881531229, 349545044141, 3142427803974, 28250701211435, 253976455118073, 2283272807215718, 20526846660524336, 184538376687777340

Offset

1,1

Comments

Column 4 of A281837.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +32*a(n-3) -252*a(n-4) -362*a(n-5) -318*a(n-6) +727*a(n-7) +2017*a(n-8) +937*a(n-9) -426*a(n-10) -3029*a(n-11) +1089*a(n-12) +9*a(n-13) +232*a(n-14) -2190*a(n-15) +162*a(n-16) -149*a(n-17) +512*a(n-18) +243*a(n-19) +198*a(n-20) -184*a(n-21) -34*a(n-22) +48*a(n-23) for n>24

Example

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

Crossrefs

Cf. A281837.

Sequence in context: A034669 A000848 A214426 * A299077 A298997 A299664

Adjacent sequences: A281830 A281831 A281832 * A281834 A281835 A281836

Keyword

nonn

Author

R. H. Hardin, Jan 31 2017

Status

approved