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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. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 7 of A298183.
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2018
STATUS
approved

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Last modified May 27 02:22 EDT 2024. Contains 372847 sequences. (Running on oeis4.)