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A298635 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 6
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, 25, 25, 14, 94, 1, 1, 173, 21, 45, 34, 45, 21, 173, 1, 1, 340, 41, 81, 61, 61, 81, 41, 340, 1, 1, 601, 70, 186, 107, 163, 107, 186, 70, 601, 1, 1, 1178, 129, 382, 234, 246, 246, 234 (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..25...45...81..186..382...832..1778..3817...8229..17739...38337
.1..24..7..25..34...61..107..234..433...961..2031..4286...9049..19572...42207
.1..53.14..45..61..163..246..566.1334..2879..6223.14320..33446..76557..175161
.1..94.21..81.107..246..462..991.1953..4272..9838.22598..52716.122648..291782
.1.173.41.186.234..566..991.2134.4366..9639.22287.50362.114429.263499..617118
.1.340.70.382.433.1334.1953.4366.7520.18205.39703.92437.205166.484401.1134968
LINKS
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 23] for n>29
k=5: [order 58] for n>64
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..1..1. .0..0..1..0
..0..1..1..0. .1..1..1..0. .0..1..1..0. .0..1..0..1. .1..0..0..0
..0..1..0..1. .0..0..0..1. .1..0..0..1. .1..1..0..0. .0..0..0..1
..1..0..0..1. .1..0..1..1. .0..1..1..0. .0..0..1..1. .1..0..0..0
..1..1..1..1. .0..0..0..1. .0..0..0..0. .1..0..1..0. .0..0..1..0
CROSSREFS
Column 2 is A297980.
Column 3 is A297981.
Sequence in context: A173119 A050178 A297986 * A171146 A174038 A328098
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 23 2018
STATUS
approved

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Last modified February 28 17:13 EST 2024. Contains 370400 sequences. (Running on oeis4.)