A304343 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

8, 28, 71, 290, 1266, 4733, 18855, 76887, 308978, 1246767, 5062234, 20532276, 83375626, 339110674, 1379336250, 5613495282, 22857004715, 93078076884, 379120762123, 1544499065379, 6292491958997, 25638948167920, 104473946952179

Offset

1,1

Comments

Column 4 of A304347.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +5*a(n-2) +32*a(n-3) -200*a(n-4) -228*a(n-5) -205*a(n-6) +3718*a(n-7) +4387*a(n-8) -1889*a(n-9) -36856*a(n-10) -45626*a(n-11) +31648*a(n-12) +222758*a(n-13) +283141*a(n-14) -176934*a(n-15) -875267*a(n-16) -1110368*a(n-17) +522678*a(n-18) +2319962*a(n-19) +2834459*a(n-20) -913714*a(n-21) -4227026*a(n-22) -4811045*a(n-23) +957440*a(n-24) +5340790*a(n-25) +5570610*a(n-26) -461342*a(n-27) -4777408*a(n-28) -4520675*a(n-29) -222037*a(n-30) +3301771*a(n-31) +2734586*a(n-32) +512745*a(n-33) -2341564*a(n-34) -1568109*a(n-35) -185062*a(n-36) +1876562*a(n-37) +893423*a(n-38) -302483*a(n-39) -1035111*a(n-40) -270603*a(n-41) +379662*a(n-42) +237172*a(n-43) -11752*a(n-44) -136851*a(n-45) +15661*a(n-46) +23886*a(n-47) +1294*a(n-48) -7785*a(n-49) -4225*a(n-50) +2867*a(n-51) +579*a(n-52) +238*a(n-53) -359*a(n-54) -27*a(n-55) +88*a(n-56) -30*a(n-57) for n>60

Example

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

Crossrefs

Cf. A304347.

Sequence in context: A328535 A358247 A119515 * A153976 A105636 A102665

Adjacent sequences: A304340 A304341 A304342 * A304344 A304345 A304346

Keyword

nonn

Author

R. H. Hardin, May 11 2018

Status

approved