A296823 Number of nX4 0..1 arrays with each 1 adjacent to 2, 3 or 4 king-move neighboring 1s.

1, 56, 352, 2272, 24367, 214243, 1814475, 16388418, 145662798, 1283040020, 11388192153, 100991700847, 894257496305, 7925024787690, 70234695528016, 622313524112136, 5514444029670513, 48865557550124217, 433004012881546047

Offset

1,2

Comments

Column 4 of A296827.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +11*a(n-2) +119*a(n-3) -495*a(n-4) -1212*a(n-5) -561*a(n-6) +9675*a(n-7) +13189*a(n-8) -12493*a(n-9) -48897*a(n-10) -21274*a(n-11) +54616*a(n-12) +30811*a(n-13) +2774*a(n-14) -30438*a(n-15) -26966*a(n-16) -35167*a(n-17) +50583*a(n-18) +47084*a(n-19) -48656*a(n-20) +23360*a(n-21) +138753*a(n-22) +60554*a(n-23) -62812*a(n-24) +16492*a(n-25) +91061*a(n-26) -28629*a(n-27) -32305*a(n-28) +2728*a(n-29) +6354*a(n-30) -3748*a(n-31) +1167*a(n-32) +176*a(n-33) -45*a(n-34) -7*a(n-35)

Example

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

Crossrefs

Cf. A296827.

Sequence in context: A104677 A156375 A219718 * A003783 A088833 A181598

Adjacent sequences: A296820 A296821 A296822 * A296824 A296825 A296826

Keyword

nonn

Author

R. H. Hardin, Dec 21 2017

Status

approved