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A231315 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order 6
9, 57, 57, 414, 937, 414, 2942, 18334, 18334, 2942, 20996, 352610, 1044214, 352610, 20996, 150012, 6781436, 57491294, 57491294, 6781436, 150012, 1071848, 130633288, 3176514169, 9008532031, 3176514169, 130633288, 1071848, 7659800, 2516212586 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.......9..........57.............414..............2942..............20996
......57.........937...........18334............352610............6781436
.....414.......18334.........1044214..........57491294.........3176514169
....2942......352610........57491294........9008532031......1418490824521
...20996.....6781436......3176514169.....1418490824521....637266593675476
..150012...130633288....175729727947...223592208590222.286555943681075624
.1071848..2516212586...9720347872375.35240740424522676
.7659800.48467679482.537709888313605
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 8*a(n-1) -2*a(n-2) -24*a(n-3) -40*a(n-4) +16*a(n-5)
k=2: [order 17]
k=3: [order 51]
EXAMPLE
Some solutions for n=1 k=4
..0..1..0..0..0....0..1..2..1..0....0..1..0..2..1....0..1..0..1..1
..2..0..1..2..1....2..1..2..1..2....0..1..1..0..1....1..2..0..2..2
CROSSREFS
Sequence in context: A231970 A197530 A086888 * A338080 A064838 A027210
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 07 2013
STATUS
approved

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Last modified April 23 07:16 EDT 2024. Contains 371905 sequences. (Running on oeis4.)