A298543 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

2, 61, 588, 4771, 41762, 367315, 3215618, 28178880, 246983338, 2164554841, 18970525357, 166262705076, 1457166433082, 12770963458496, 111927910337221, 980964098035827, 8597413843575416, 75349879370232982, 660385138424897718

Offset

1,1

Comments

Column 4 of A298547.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +6*a(n-2) +36*a(n-3) -199*a(n-4) -489*a(n-5) -607*a(n-6) +190*a(n-7) +2704*a(n-8) +3152*a(n-9) +1937*a(n-10) -4117*a(n-11) -883*a(n-12) -1120*a(n-13) +4348*a(n-14) -5819*a(n-15) -5356*a(n-16) +140*a(n-17) +908*a(n-18) -6185*a(n-19) -1785*a(n-20) +9257*a(n-21) +3188*a(n-22) -3046*a(n-23) +1121*a(n-24) +645*a(n-25) -4057*a(n-26) +101*a(n-27) +2424*a(n-28) -327*a(n-29) -420*a(n-30) +312*a(n-31) -14*a(n-32) -64*a(n-33) -6*a(n-35) +2*a(n-36) for n>39

Example

Some solutions for n=6
..0..0..1..0. .0..0..1..0. .0..0..1..0. .0..0..1..0. .0..0..1..0
..0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0
..0..1..0..1. .0..1..0..0. .0..1..0..1. .0..1..0..0. .0..1..0..1
..1..0..0..0. .1..0..1..1. .1..0..0..1. .0..1..1..0. .0..1..1..1
..0..1..1..0. .1..0..1..1. .0..1..1..0. .1..0..1..0. .0..0..0..0
..1..0..0..0. .0..0..0..0. .0..1..0..1. .1..0..0..1. .0..1..1..1

Crossrefs

Cf. A298547.

Sequence in context: A172230 A059004 A297919 * A298333 A299224 A037065

Adjacent sequences: A298540 A298541 A298542 * A298544 A298545 A298546

Keyword

nonn

Author

R. H. Hardin, Jan 21 2018

Status

approved