A305513 Number of nX5 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 8, 8, 13, 62, 108, 353, 982, 2362, 6902, 17966, 48328, 131033, 349168, 943670, 2530452, 6802772, 18299554, 49143209, 132162126, 355171176, 954616216, 2566141784, 6896886200, 18538660531, 49829019816, 133932941742, 359997398044

Offset

1,1

Comments

Column 5 of A305516.

Links

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

Formula

Empirical: a(n) = 5*a(n-2) +14*a(n-3) -2*a(n-4) -38*a(n-5) -64*a(n-6) +16*a(n-7) +112*a(n-8) +111*a(n-9) -62*a(n-10) -171*a(n-11) -43*a(n-12) +149*a(n-13) +175*a(n-14) -97*a(n-15) -180*a(n-16) -41*a(n-17) +216*a(n-18) -141*a(n-19) -266*a(n-20) -25*a(n-21) +610*a(n-22) -32*a(n-23) -398*a(n-24) -103*a(n-25) +472*a(n-26) -53*a(n-27) -237*a(n-28) +143*a(n-29) +191*a(n-30) -202*a(n-31) -227*a(n-32) +24*a(n-33) +51*a(n-34) +31*a(n-35) -a(n-36) -73*a(n-37) +63*a(n-38) +42*a(n-39) -18*a(n-40) -8*a(n-42) +2*a(n-43) +2*a(n-44) -2*a(n-45) for n>49

Example

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

Crossrefs

Cf. A305516.

Sequence in context: A354222 A032538 A168209 * A209374 A101385 A161432

Adjacent sequences: A305510 A305511 A305512 * A305514 A305515 A305516

Keyword

nonn

Author

R. H. Hardin, Jun 03 2018

Status

approved