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A231828 T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions) 7
1, 1, 1, 3, 9, 3, 8, 64, 64, 8, 21, 439, 1205, 439, 21, 55, 2992, 21770, 21770, 2992, 55, 144, 20382, 393408, 1043604, 393408, 20382, 144, 377, 138852, 7103846, 49913988, 49913988, 7103846, 138852, 377, 987, 945923, 128269829, 2386203232, 6320545103 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Table starts
...1......1..........3.............8................21...................55
...1......9.........64...........439..............2992................20382
...3.....64.......1205.........21770............393408..............7103846
...8....439......21770.......1043604..........49913988...........2386203232
..21...2992.....393408......49913988........6320545103.........800089656653
..55..20382....7103846....2386203232......800089656653......268201160539247
.144.138852..128269829..114066364087...101271407955316....89898324366354186
.377.945923.2316065437.5452552422721.12818259615003968.30132701233909614426
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) -a(n-2) for n>3
k=2: a(n) = 9*a(n-1) -16*a(n-2) +11*a(n-3) -27*a(n-4) +21*a(n-5) -4*a(n-6)
k=3: [order 36] for n>37
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1....0..0..1..2....0..2..1..1....0..1..1..1....0..2..0..0
..0..2..1..2....1..2..0..1....2..2..1..2....2..2..0..0....2..2..1..2
..1..0..0..0....2..2..2..0....0..1..1..1....2..2..1..2....2..0..1..2
CROSSREFS
Column 1 is A001906(n-1)
Sequence in context: A021258 A200607 A099319 * A268580 A179802 A010707
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 14 2013
STATUS
approved

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Last modified July 13 12:04 EDT 2024. Contains 374282 sequences. (Running on oeis4.)