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

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

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

R. H. Hardin, Table of n, a(n) for n = 1..60

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

Adjacent sequences: A231312 A231313 A231314 * A231316 A231317 A231318

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 07 2013

Status

approved