A298290 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

8, 29, 26, 46, 130, 233, 448, 877, 1605, 3284, 6774, 13516, 26780, 53260, 107224, 217210, 438939, 883313, 1780573, 3597643, 7278676, 14737316, 29815736, 60315844, 122146302, 247456532, 501329145, 1015919801, 2058740283, 4172450069

Offset

1,1

Comments

Column 4 of A298294.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +a(n-3) -15*a(n-4) +3*a(n-5) +14*a(n-6) -13*a(n-7) +2*a(n-8) +28*a(n-9) +136*a(n-10) -123*a(n-11) -150*a(n-12) -4*a(n-13) +224*a(n-14) -263*a(n-15) -312*a(n-16) -39*a(n-17) +829*a(n-18) -195*a(n-19) +263*a(n-20) +318*a(n-21) -203*a(n-22) +1380*a(n-23) -1061*a(n-24) +1265*a(n-25) -6050*a(n-26) +3594*a(n-27) -612*a(n-28) +1467*a(n-29) -10103*a(n-30) +7834*a(n-31) +336*a(n-32) +5421*a(n-33) -11698*a(n-34) +11954*a(n-35) +3181*a(n-36) +2304*a(n-37) -2504*a(n-38) +1394*a(n-39) -1748*a(n-40) -9782*a(n-41) -955*a(n-42) -4225*a(n-43) -5550*a(n-44) -78*a(n-45) +9350*a(n-46) +6450*a(n-47) -551*a(n-48) +2055*a(n-49) +2617*a(n-50) -404*a(n-51) -3702*a(n-52) -3216*a(n-53) -544*a(n-54) +434*a(n-55) +923*a(n-56) +488*a(n-57) +68*a(n-58) +59*a(n-59) -254*a(n-60) -194*a(n-61) +52*a(n-62) +64*a(n-63) +36*a(n-64) +8*a(n-65) -10*a(n-66) -4*a(n-67) for n>70

Example

Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..1..0. .0..1..0..0. .0..1..1..0
..1..0..1..0. .1..1..0..0. .1..1..1..0. .1..1..0..1. .0..0..1..0
..0..0..1..1. .0..1..1..1. .0..1..0..1. .0..0..0..1. .1..1..1..0
..0..0..1..1. .0..0..1..0. .0..1..0..1. .1..1..0..0. .0..1..0..1
..1..0..1..0. .1..1..1..1. .0..1..0..1. .0..0..1..1. .1..1..1..0
..0..1..0..1. .0..1..0..0. .0..1..0..1. .1..1..1..0. .0..0..1..0
..1..0..1..0. .0..1..0..1. .0..1..0..1. .1..0..0..1. .1..0..1..1

Crossrefs

Cf. A298294.

Sequence in context: A068623 A361585 A297885 * A298490 A299183 A155578

Adjacent sequences: A298287 A298288 A298289 * A298291 A298292 A298293

Keyword

nonn

Author

R. H. Hardin, Jan 16 2018

Status

approved