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URL: https://oeis.org/A304901

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A304901
T(n,k) = Number of n X k 0..1 arrays with every element unequal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
7
0, 1, 1, 1, 7, 1, 2, 23, 23, 2, 3, 86, 62, 86, 3, 5, 313, 330, 330, 313, 5, 8, 1145, 1249, 2373, 1249, 1145, 8, 13, 4184, 5562, 13954, 13954, 5562, 4184, 13, 21, 15293, 23101, 88308, 107723, 88308, 23101, 15293, 21, 34, 55895, 99064, 546357, 946723, 946723, 546357
OFFSET
1,5
COMMENTS
Table starts
..0.....1......1........2.........3...........5............8.............13
..1.....7.....23.......86.......313........1145.........4184..........15293
..1....23.....62......330......1249........5562........23101..........99064
..2....86....330.....2373.....13954.......88308.......546357........3395402
..3...313...1249....13954....107723......946723......8143342.......69406724
..5..1145...5562....88308....946723....11067544....132134627.....1529832969
..8..4184..23101...546357...8143342...132134627...2256313057....36576467823
.13.15293..99064..3395402..69406724..1529832969..36576467823...816589152784
.21.55895.418753.21113828.599014812.18095801753.611064999079.18937183868022
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2);
k=2: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4);
k=3: [order 15] for n>16;
k=4: [order 46] for n>48.
EXAMPLE
Some solutions for n=5, k=4
..0..0..1..0. .0..1..1..1. .0..0..0..1. .0..1..1..1. .0..0..0..1
..0..1..0..0. .1..1..1..0. .1..0..0..0. .0..1..0..1. .1..1..0..0
..1..1..1..0. .1..1..1..0. .1..0..0..1. .0..1..1..0. .0..0..0..1
..0..1..1..0. .0..1..1..0. .0..1..1..1. .0..1..1..1. .1..1..0..1
..0..0..0..1. .1..0..1..1. .0..1..1..0. .0..1..0..0. .0..0..0..1
CROSSREFS
Column 1 is A000045(n-1).
Column 2 is A303890.
Sequence in context: A317436 A303896 A305288 * A316583 A304597 A316383
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, May 20 2018
STATUS
approved