A298182 Number of nX7 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

0, 8, 8, 15, 54, 114, 231, 596, 1462, 3349, 7894, 19344, 46083, 109006, 262862, 631513, 1506764, 3614398, 8682865, 20808082, 49898254, 119810337, 287572788, 690178246, 1657383439, 3980822218, 9561564308, 22971976895, 55204857432, 132683125294

Offset

1,2

Comments

Column 7 of A298183.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +14*a(n-3) -30*a(n-4) -3*a(n-5) +31*a(n-6) -19*a(n-7) +239*a(n-8) -221*a(n-9) +70*a(n-10) -600*a(n-11) -13*a(n-12) +699*a(n-13) -60*a(n-14) +1998*a(n-15) -2941*a(n-16) +246*a(n-17) -919*a(n-18) +748*a(n-19) +5642*a(n-20) -4627*a(n-21) +789*a(n-22) -7280*a(n-23) +1283*a(n-24) +9180*a(n-25) -727*a(n-26) +3094*a(n-27) -10634*a(n-28) -1764*a(n-29) +4744*a(n-30) +1451*a(n-31) +6057*a(n-32) -6690*a(n-33) -2277*a(n-34) +512*a(n-35) +1285*a(n-36) +2306*a(n-37) -1107*a(n-38) -1080*a(n-39) +455*a(n-40) -349*a(n-41) +542*a(n-42) +118*a(n-43) -396*a(n-44) +152*a(n-45) +32*a(n-46) -50*a(n-47) +8*a(n-48)

Example

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

Crossrefs

Cf. A298183.

Sequence in context: A168337 A109540 A229554 * A040057 A205709 A028997

Adjacent sequences: A298179 A298180 A298181 * A298183 A298184 A298185

Keyword

nonn

Author

R. H. Hardin, Jan 14 2018

Status

approved