A303966 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 5 king-move adjacent elements, with upper left element zero.

8, 53, 54, 173, 452, 1014, 2247, 5247, 11995, 27818, 65183, 151096, 349718, 812569, 1885211, 4372093, 10150580, 23557507, 54656120, 126843786, 294365563, 683067821, 1585148651, 3678564016, 8536369009, 19809524756, 45970295904

Offset

1,1

Comments

Column 5 of A303969.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-3) -2*a(n-4) -2*a(n-5) +7*a(n-6) -13*a(n-7) -6*a(n-8) -11*a(n-9) +a(n-10) +2*a(n-11) -9*a(n-12) +21*a(n-13) +15*a(n-14) +21*a(n-15) +2*a(n-16) +a(n-18) -10*a(n-19) -9*a(n-20) -13*a(n-21) -a(n-22) +2*a(n-24) for n>35

Example

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

Crossrefs

Cf. A303969.

Sequence in context: A199700 A302865 A116171 * A304928 A305344 A316612

Adjacent sequences: A303963 A303964 A303965 * A303967 A303968 A303969

Keyword

nonn

Author

R. H. Hardin, May 03 2018

Status

approved