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A296963 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s. 8
1, 1, 1, 1, 6, 1, 1, 16, 16, 1, 1, 31, 60, 31, 1, 1, 96, 177, 177, 96, 1, 1, 301, 869, 910, 869, 301, 1, 1, 801, 3994, 6506, 6506, 3994, 801, 1, 1, 2261, 16348, 44519, 88469, 44519, 16348, 2261, 1, 1, 6746, 71669, 289576, 1064451, 1064451, 289576, 71669, 6746, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Table starts
.1....1......1........1..........1............1..............1...............1
.1....6.....16.......31.........96..........301............801............2261
.1...16.....60......177........869.........3994..........16348...........71669
.1...31....177......910.......6506........44519.........289576.........1933227
.1...96....869.....6506......88469......1064451.......11592086.......134880572
.1..301...3994....44519....1064451.....21225209......374855869......7251402774
.1..801..16348...289576...11592086....374855869....10777843410....340260590831
.1.2261..71669..1933227..134880572...7251402774...340260590831..17890820040132
.1.6746.320252.12967823.1582121415.141096153092.10761797803245.941238613911895
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 4*a(n-1) -5*a(n-2) +11*a(n-3) -18*a(n-4) +4*a(n-5)
k=3: [order 21]
k=4: [order 51]
EXAMPLE
Some solutions for n=5 k=4
..1..1..0..0. .0..1..0..0. .0..0..1..1. .1..1..1..0. .0..0..1..1
..0..1..0..0. .0..1..1..0. .0..0..0..1. .0..1..0..1. .0..1..1..0
..0..0..1..1. .1..0..0..0. .0..1..0..0. .1..0..1..1. .1..1..1..0
..0..1..1..1. .1..1..1..0. .1..1..0..0. .1..1..1..0. .0..0..1..1
..0..1..0..0. .1..0..1..1. .1..0..0..0. .1..0..0..0. .0..1..1..0
CROSSREFS
Sequence in context: A109001 A203005 A357156 * A176560 A152602 A119726
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 22 2017
STATUS
approved

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Last modified June 15 16:55 EDT 2024. Contains 373410 sequences. (Running on oeis4.)