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A297986 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 8
1, 1, 1, 1, 5, 1, 1, 6, 6, 1, 1, 17, 2, 17, 1, 1, 24, 5, 5, 24, 1, 1, 53, 7, 15, 7, 53, 1, 1, 94, 14, 23, 23, 14, 94, 1, 1, 173, 21, 43, 34, 43, 21, 173, 1, 1, 340, 41, 79, 61, 61, 79, 41, 340, 1, 1, 601, 70, 184, 105, 131, 105, 184, 70, 601, 1, 1, 1178, 129, 380, 222, 242, 242, 222 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1..1...1...1....1....1....1....1.....1.....1.....1......1......1......1

.1...5..6..17..24...53...94..173..340...601..1178..2137...4056...7565..14086

.1...6..2...5...7...14...21...41...70...129...233...428....783...1445...2664

.1..17..5..15..23...43...79..184..380...830..1776..3815...8227..17737..38335

.1..24..7..23..34...61..105..222..428...948..1975..4162...8801..18972..40777

.1..53.14..43..61..131..242..530.1226..2701..5847.13187..30316..68963.156767

.1..94.21..79.105..242..444..935.1835..3921..8793.19694..44948.102048.235955

.1.173.41.184.222..530..935.1980.3832..8355.18941.40962..89009.197337.448014

.1.340.70.380.428.1226.1835.3832.6500.15690.33619.75185.159728.361567.821919

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..511

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 3*a(n-2) +2*a(n-3) -2*a(n-4) for n>5

k=3: [order 11] for n>13

k=4: [order 22] for n>28

k=5: [order 37] for n>43

k=6: [order 76] for n>84

EXAMPLE

Some solutions for n=7 k=4

..0..0..1..1. .0..0..1..0. .0..0..1..0. .0..1..1..1. .0..0..0..0

..0..1..0..1. .0..1..1..1. .0..1..1..1. .0..0..1..0. .0..1..1..0

..1..0..1..0. .1..0..0..0. .1..0..0..0. .0..1..1..1. .1..0..1..0

..1..0..1..0. .0..1..1..0. .0..1..1..0. .1..0..0..0. .1..0..1..0

..1..0..1..0. .0..1..0..1. .0..0..1..0. .0..1..1..0. .1..0..1..0

..1..0..0..1. .1..0..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1

..1..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1. .0..0..1..1

CROSSREFS

Sequence in context: A028313 A173119 A050178 * A298635 A171146 A174038

Adjacent sequences:  A297983 A297984 A297985 * A297987 A297988 A297989

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 10 2018

STATUS

approved

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Last modified September 28 15:46 EDT 2021. Contains 347716 sequences. (Running on oeis4.)