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A295606 T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2, 3 or 4 1s. 7
2, 3, 3, 5, 8, 5, 8, 20, 20, 8, 13, 51, 83, 51, 13, 21, 132, 338, 338, 132, 21, 34, 341, 1425, 2305, 1425, 341, 34, 55, 883, 6080, 16340, 16340, 6080, 883, 55, 89, 2293, 26249, 119371, 201602, 119371, 26249, 2293, 89, 144, 5964, 114298, 892086, 2594128 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..2....3......5........8.........13...........21..............34
..3....8.....20.......51........132..........341.............883
..5...20.....83......338.......1425.........6080...........26249
..8...51....338.....2305......16340.......119371..........892086
.13..132...1425....16340.....201602......2594128........34416318
.21..341...6080...119371....2594128.....59562253......1412108105
.34..883..26249...892086...34416318...1412108105.....59768294027
.55.2293.114298..6775059..465449155..34084604345...2568256527624
.89.5964.501405.52046892.6367873016.830405539405.111128604535696
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2)
k=2: a(n) = 4*a(n-1) -3*a(n-2) -4*a(n-4) -a(n-5) +a(n-6)
k=3: [order 12]
k=4: [order 27]
k=5: [order 69]
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0. .1..1..0..0. .1..0..1..0. .0..1..0..0. .0..0..1..0
..0..0..0..0. .1..1..1..0. .0..1..0..0. .0..0..0..1. .0..1..0..0
..0..0..0..1. .0..1..1..1. .1..0..0..1. .0..0..1..0. .0..0..1..1
..0..1..0..0. .1..0..1..1. .0..1..0..0. .1..0..0..0. .1..0..1..1
CROSSREFS
Column 1 is A000045(n+2).
Column 2 is A295346.
Sequence in context: A295051 A295379 A295352 * A154690 A046937 A247309
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 24 2017
STATUS
approved

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Last modified April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)