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A304131
Number of n X 6 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero.
1
13, 49, 53, 140, 320, 651, 1321, 2673, 5293, 10668, 21704, 43407, 86685, 174463, 350613, 704014, 1416102, 2846067, 5718303, 11503925, 23146779, 46553188, 93651586, 188449221, 379193323, 763054735, 1535660833, 3090522976, 6219809542
OFFSET
1,1
COMMENTS
Column 6 of A304133.
LINKS
FORMULA
Empirical: a(n) = 19*a(n-3) +6*a(n-4) +9*a(n-5) -153*a(n-6) -90*a(n-7) -157*a(n-8) +652*a(n-9) +559*a(n-10) +1181*a(n-11) -1404*a(n-12) -1792*a(n-13) -5054*a(n-14) +300*a(n-15) +2686*a(n-16) +13604*a(n-17) +7007*a(n-18) +884*a(n-19) -23893*a(n-20) -21475*a(n-21) -12130*a(n-22) +27170*a(n-23) +34384*a(n-24) +25529*a(n-25) -18535*a(n-26) -34229*a(n-27) -29564*a(n-28) +5242*a(n-29) +21519*a(n-30) +21219*a(n-31) +2161*a(n-32) -7919*a(n-33) -9483*a(n-34) -2452*a(n-35) +1164*a(n-36) +2492*a(n-37) +820*a(n-38) +248*a(n-39) -332*a(n-40) -96*a(n-41) -128*a(n-42) +16*a(n-43) +16*a(n-45) for n>48.
EXAMPLE
Some solutions for n=5
..0..0..1..1..1..0. .0..0..0..0..0..0. .0..1..1..1..1..1. .0..0..0..0..0..1
..0..1..1..1..1..1. .0..0..0..1..0..0. .1..1..1..1..1..1. .1..0..0..0..0..0
..1..1..1..1..1..1. .0..0..1..1..0..1. .1..1..1..0..1..1. .1..1..0..0..0..0
..1..1..1..1..1..0. .0..1..1..1..1..1. .1..1..0..0..1..0. .0..0..0..0..0..1
..1..1..1..1..0..0. .1..1..1..1..1..1. .1..0..0..0..0..0. .1..0..0..0..1..1
CROSSREFS
Cf. A304133.
Sequence in context: A156694 A080171 A303680 * A304219 A305480 A044115
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 07 2018
STATUS
approved