A303805 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero.

8, 35, 27, 55, 100, 174, 291, 588, 1163, 2423, 4818, 10036, 21078, 46341, 100336, 220565, 483545, 1084948, 2439934, 5530868, 12512771, 28535002, 65311019, 150358763, 346493586, 800958988, 1855292658, 4311716221, 10037969764

Offset

1,1

Comments

Column 5 of A303808.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) -a(n-3) +21*a(n-4) -51*a(n-5) +35*a(n-6) +10*a(n-7) -16*a(n-8) +59*a(n-9) +22*a(n-10) -63*a(n-11) -75*a(n-12) +218*a(n-13) -298*a(n-14) +2*a(n-15) -294*a(n-16) -277*a(n-17) +523*a(n-18) +265*a(n-19) +445*a(n-20) +109*a(n-21) -627*a(n-22) +233*a(n-23) +267*a(n-24) -189*a(n-25) -45*a(n-26) -202*a(n-27) +339*a(n-28) +275*a(n-29) -448*a(n-30) -292*a(n-31) -146*a(n-32) +56*a(n-33) +172*a(n-34) +48*a(n-35) +46*a(n-36) +4*a(n-37) -14*a(n-39) -12*a(n-40) +3*a(n-41) +a(n-42) for n>46

Example

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

Crossrefs

Cf. A303808.

Sequence in context: A280395 A158991 A265161 * A360658 A304852 A305249

Adjacent sequences: A303802 A303803 A303804 * A303806 A303807 A303808

Keyword

nonn

Author

R. H. Hardin, Apr 30 2018

Status

approved