A320398 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 97, 732, 5956, 46516, 368049, 2908839, 22987303, 181744907, 1436461093, 11355392249, 89758535679, 709518658622, 5608497091251, 44333394421956, 350441036671961, 2770122870971545, 21896924058038922, 173088084934645189

Offset

1,1

Comments

Column 4 of A320402.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +28*a(n-2) -24*a(n-3) -136*a(n-4) +105*a(n-5) -107*a(n-6) -286*a(n-7) -1000*a(n-8) +3256*a(n-9) -4082*a(n-10) +3419*a(n-11) -4880*a(n-12) +9893*a(n-13) +2718*a(n-14) +2078*a(n-15) +375*a(n-16) +9428*a(n-17) +6871*a(n-18) -13907*a(n-19) -47584*a(n-20) -33040*a(n-21) +3344*a(n-22) +35603*a(n-23) +39192*a(n-24) +3067*a(n-25) -15105*a(n-26) -15565*a(n-27) -3783*a(n-28) +6868*a(n-29) +3565*a(n-30) +414*a(n-31) -1909*a(n-32) -770*a(n-33) +339*a(n-34) +213*a(n-35) +64*a(n-36) -62*a(n-37) -13*a(n-38) +10*a(n-39) -a(n-40) for n>41

Example

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

Crossrefs

Cf. A320402.

Sequence in context: A002506 A367352 A318012 * A218451 A262777 A367493

Adjacent sequences: A320395 A320396 A320397 * A320399 A320400 A320401

Keyword

nonn

Author

R. H. Hardin, Oct 12 2018

Status

approved