A301322 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

64, 1063, 1844, 3996, 8035, 15802, 31172, 62375, 126931, 262036, 546825, 1149471, 2427928, 5143628, 10917376, 23198890, 49332845, 104956579, 223369135, 475481242, 1012314623, 2155517305, 4590185451, 9775585602, 20820114408

Offset

1,1

Comments

Column 7 of A301323.

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) +10*a(n-4) -14*a(n-5) +17*a(n-6) -13*a(n-7) +10*a(n-8) -6*a(n-9) -5*a(n-10) +7*a(n-11) -2*a(n-12) -2*a(n-13) +5*a(n-14) -7*a(n-15) +4*a(n-16) -2*a(n-17) +2*a(n-18) +2*a(n-20) -2*a(n-21) +a(n-22) -a(n-23) for n>28

Example

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

Crossrefs

Cf. A301323.

Sequence in context: A223018 A221247 A280603 * A300497 A300936 A300880

Adjacent sequences: A301319 A301320 A301321 * A301323 A301324 A301325

Keyword

nonn

Author

R. H. Hardin, Mar 18 2018

Status

approved