A299517 Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

1, 2, 5, 8, 41, 117, 476, 1743, 7078, 28743, 116832, 478171, 1955738, 8011036, 32816061, 134450866, 550917593, 2257434204, 9250305870, 37905245020, 155326182456, 636489181785, 2608180914178, 10687710600371, 43795726882138

Offset

1,2

Comments

Column 4 of A299521.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +11*a(n-2) -14*a(n-3) -57*a(n-4) -9*a(n-5) +83*a(n-6) +135*a(n-7) +193*a(n-8) -96*a(n-9) -495*a(n-10) -183*a(n-11) +18*a(n-12) -199*a(n-13) +87*a(n-14) +122*a(n-15) -138*a(n-16) +518*a(n-17) +1198*a(n-18) +958*a(n-19) +342*a(n-20) -518*a(n-21) -1335*a(n-22) -1132*a(n-23) -225*a(n-24) +77*a(n-25) +48*a(n-26) +146*a(n-27) +111*a(n-28) -19*a(n-29) -52*a(n-30) +3*a(n-31) -3*a(n-32) -4*a(n-33) +3*a(n-34) for n>36

Example

Some solutions for n=5
..0..0..1..1. .0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..1..1
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1
..1..1..1..1. .0..0..0..0. .1..0..1..0. .0..0..0..1. .1..0..0..1
..1..1..0..0. .1..1..1..1. .0..0..0..0. .1..1..0..0. .0..0..1..1
..1..1..0..0. .1..1..1..1. .1..0..0..1. .1..1..0..0. .0..0..1..1

Crossrefs

Cf. A299521.

Sequence in context: A191550 A120342 A214842 * A268660 A180627 A264860

Adjacent sequences: A299514 A299515 A299516 * A299518 A299519 A299520

Keyword

nonn

Author

R. H. Hardin, Feb 11 2018

Status

approved