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A303626 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 3, 148, 325, 3591, 19467, 160807, 1173612, 9421103, 75073653, 610163560, 4982200456, 40884018586, 336380001790, 2772144413449, 22869613342371, 188783964530800, 1558985724471489, 12877140629903061, 106380021298938000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A303624.
LINKS
FORMULA
Empirical: a(n) = 16*a(n-1) -39*a(n-2) -486*a(n-3) +2076*a(n-4) +6509*a(n-5) -36557*a(n-6) -51456*a(n-7) +351943*a(n-8) +315012*a(n-9) -2226007*a(n-10) -1747803*a(n-11) +10471115*a(n-12) +7461453*a(n-13) -38373678*a(n-14) -20050380*a(n-15) +107152786*a(n-16) +28648842*a(n-17) -222622519*a(n-18) -3530085*a(n-19) +339517313*a(n-20) -76201625*a(n-21) -361639017*a(n-22) +183843854*a(n-23) +214443094*a(n-24) -255187688*a(n-25) +57118500*a(n-26) +258024061*a(n-27) -306102478*a(n-28) -223408872*a(n-29) +409718455*a(n-30) +187726094*a(n-31) -344439874*a(n-32) -146637084*a(n-33) +189433554*a(n-34) +89003404*a(n-35) -61685576*a(n-36) -35202400*a(n-37) +8565840*a(n-38) +7517168*a(n-39) +603968*a(n-40) -519744*a(n-41) -231936*a(n-42) -40960*a(n-43) for n>44
EXAMPLE
Some solutions for n=5
..0..1..1..1..1. .0..0..0..0..0. .0..0..0..0..0. .0..0..1..0..1
..0..1..1..1..1. .0..0..0..0..0. .0..0..1..0..1. .0..0..0..0..0
..0..1..1..1..0. .1..1..1..1..1. .0..0..0..0..1. .0..0..0..1..1
..1..1..0..1..1. .0..1..1..1..1. .0..0..0..0..1. .1..0..0..1..1
CROSSREFS
Cf. A303624.
Sequence in context: A303086 A131502 A302891 * A100253 A175040 A238292
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 27 2018
STATUS
approved

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Last modified June 18 04:26 EDT 2024. Contains 373468 sequences. (Running on oeis4.)