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A266131 T(n,k) = Number of n X k integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself. 12
1, 3, 1, 4, 9, 1, 5, 25, 20, 1, 9, 49, 77, 61, 1, 16, 149, 117, 385, 189, 1, 25, 625, 278, 572, 2099, 544, 1, 39, 2141, 1959, 3851, 4336, 9083, 1629, 1, 64, 5433, 11044, 44623, 62104, 19750, 48188, 4973, 1, 105, 17269, 36730, 347576, 1285961, 326145, 102201, 249446 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.1.....3.......4........5.........9.........16..........25.........39
.1.....9......25.......49.......149........625........2141.......5433
.1....20......77......117.......278.......1959.......11044......36730
.1....61.....385......572......3851......44623......347576....1650710
.1...189....2099.....4336.....62104....1285961....16386099..124675418
.1...544....9083....19750....326145...13689944...325554385.3901509248
.1..1629...48188...102201...4176690..311260836.10444421518
.1..4973..249446...620508..50677045.6688962679
.1.15040.1166325..3041449.367191341
.1.45739.6288299.16217839
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1),
k=2: [order 10],
k=3: [order 26] for n>27,
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-3) +a(n-4),
n=2: [order 17],
n=3: [order 77].
EXAMPLE
Some solutions for n=4, k=4
..0..0..1..1....0..2..1..2....1..0..2..1....2..1..2..0....0..2..1..0
..0..2..0..1....0..0..1..2....0..2..0..1....0..1..2..0....0..2..1..1
..0..0..1..2....0..2..0..2....3..2..1..1....1..0..2..0....0..2..0..2
..0..2..1..2....0..0..1..1....0..2..1..0....1..1..0..0....0..0..1..1
CROSSREFS
Column 2 is A196212.
Row 1 is A195971.
Sequence in context: A049916 A220605 A094166 * A338871 A202353 A108621
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 21 2015
STATUS
approved

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Last modified July 14 02:38 EDT 2024. Contains 374291 sequences. (Running on oeis4.)