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A250654 Number of (n+1) X (6+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. 1
64, 134, 274, 554, 1114, 2234, 4474, 8954, 17914, 35834, 71674, 143354, 286714, 573434, 1146874, 2293754, 4587514, 9175034, 18350074, 36700154, 73400314, 146800634, 293601274, 587202554, 1174405114, 2348810234, 4697620474 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) - 2*a(n-2); also a(n) = 2^(n-1)*36 + (5*2^(n-1)-1)*6 + 2^(n+1).
Empirical g.f.: 2*x*(32 - 29*x) / ((1 - x)*(1 - 2*x)). - Colin Barker, Nov 15 2018
EXAMPLE
Some solutions for n=4:
..0..0..0..0..0..0..0....1..1..1..1..1..1..0....1..1..1..1..1..1..1
..0..0..1..1..1..1..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
..0..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
..0..0..1..1..1..1..1....0..1..1..1..1..1..1....0..0..0..1..1..1..1
CROSSREFS
Column 6 of A250656.
Sequence in context: A211254 A252081 A068410 * A223063 A216330 A110232
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 26 2014
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)