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A304901 T(n,k)=Number of nXk 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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..180

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

Adjacent sequences:  A304898 A304899 A304900 * A304902 A304903 A304904

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 20 2018

STATUS

approved

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Last modified July 25 19:28 EDT 2021. Contains 346291 sequences. (Running on oeis4.)