A298504 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

1, 37, 50, 269, 1297, 6063, 35908, 203345, 1189795, 7055624, 41835434, 249147878, 1485044635, 8856174210, 52837998146, 315280148740, 1881427765566, 11227912700923, 67006814037012, 399893612351038, 2386560771055623

Offset

1,2

Comments

Column 4 of A298508.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +17*a(n-2) +13*a(n-3) -193*a(n-4) -530*a(n-5) -97*a(n-6) +3154*a(n-7) +7208*a(n-8) -130*a(n-9) -26435*a(n-10) -41448*a(n-11) +13851*a(n-12) +111015*a(n-13) +82276*a(n-14) -111684*a(n-15) -190827*a(n-16) +79153*a(n-17) +313873*a(n-18) -31710*a(n-19) -459800*a(n-20) -307252*a(n-21) +482934*a(n-22) +791234*a(n-23) -6361*a(n-24) -567235*a(n-25) -901162*a(n-26) -315490*a(n-27) +159776*a(n-28) +935898*a(n-29) +1293810*a(n-30) -906330*a(n-31) -2626394*a(n-32) -2785509*a(n-33) +1744251*a(n-34) +4843554*a(n-35) +4452221*a(n-36) -380121*a(n-37) -3070783*a(n-38) -2643211*a(n-39) -164399*a(n-40) +1257451*a(n-41) +527157*a(n-42) +62435*a(n-43) -639878*a(n-44) -315429*a(n-45) -329335*a(n-46) -169829*a(n-47) -89228*a(n-48) -7003*a(n-49) +43945*a(n-50) +45334*a(n-51) +15458*a(n-52) -2070*a(n-53) -3816*a(n-54) -2168*a(n-55) +664*a(n-56) +272*a(n-57) -64*a(n-58) for n>61

Example

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

Crossrefs

Cf. A298508.

Sequence in context: A129072 A297911 A253019 * A074401 A323476 A345169

Adjacent sequences: A298501 A298502 A298503 * A298505 A298506 A298507

Keyword

nonn

Author

R. H. Hardin, Jan 20 2018

Status

approved