A305249 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 4 or 8 king-move adjacent elements, with upper left element zero.

8, 35, 34, 79, 203, 439, 1010, 2382, 5699, 13811, 33747, 82601, 203917, 507126, 1264787, 3160200, 7913799, 19862255, 49931957, 125642182, 316372417, 797186969, 2009925584, 5069682263, 12790992384, 32279577446, 81477816804, 205693851559

Offset

1,1

Comments

Column 5 of A305252.

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) +7*a(n-3) -11*a(n-4) -15*a(n-5) -2*a(n-6) +24*a(n-7) +90*a(n-8) +114*a(n-9) +65*a(n-10) -215*a(n-11) -359*a(n-12) -557*a(n-13) -219*a(n-14) -248*a(n-15) -165*a(n-16) +299*a(n-17) +1844*a(n-18) +3254*a(n-19) +4522*a(n-20) +3801*a(n-21) -535*a(n-22) -4333*a(n-23) -8392*a(n-24) -8789*a(n-25) -9020*a(n-26) -9138*a(n-27) -4016*a(n-28) +2513*a(n-29) +9438*a(n-30) +13706*a(n-31) +12986*a(n-32) +10225*a(n-33) +7846*a(n-34) +3475*a(n-35) +7*a(n-36) -4527*a(n-37) -6898*a(n-38) -6562*a(n-39) -5807*a(n-40) -3583*a(n-41) -1569*a(n-42) +99*a(n-43) +872*a(n-44) +998*a(n-45) +818*a(n-46) +591*a(n-47) +283*a(n-48) +122*a(n-49) -24*a(n-50) -38*a(n-51) -21*a(n-52) -8*a(n-53) -a(n-54) for n>59

Example

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

Crossrefs

Cf. A305252.

Sequence in context: A303805 A360658 A304852 * A316549 A304541 A306126

Adjacent sequences: A305246 A305247 A305248 * A305250 A305251 A305252

Keyword

nonn

Author

R. H. Hardin, May 28 2018

Status

approved