A303796 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.

8, 24, 30, 90, 231, 631, 1586, 4230, 11059, 29053, 75910, 199512, 522870, 1370889, 3593603, 9425485, 24711611, 64792085, 169885855, 445461189, 1167988296, 3062473985, 8029902757, 21054655960, 55205582288, 144750167082, 379538412292

Offset

1,1

Comments

Column 4 of A303800.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +7*a(n-4) -12*a(n-5) -24*a(n-6) -17*a(n-7) -5*a(n-8) +11*a(n-9) +31*a(n-10) +43*a(n-11) +17*a(n-12) +12*a(n-13) -15*a(n-14) -16*a(n-15) -39*a(n-16) -24*a(n-17) +18*a(n-18) +26*a(n-19) +4*a(n-20) +7*a(n-21) -14*a(n-22) -32*a(n-23) +5*a(n-24) +7*a(n-25) -6*a(n-26) +a(n-27) +2*a(n-28) for n>32

Example

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

Crossrefs

Cf. A303800.

Sequence in context: A038524 A261394 A162829 * A175368 A000118 A096727

Adjacent sequences: A303793 A303794 A303795 * A303797 A303798 A303799

Keyword

nonn

Author

R. H. Hardin, Apr 30 2018

Status

approved