A201503 T(n,k)=Number of nXk 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 3, 6, 3, 2, 1, 3, 5, 5, 3, 1, 2, 4, 12, 8, 12, 4, 2, 1, 4, 8, 12, 12, 8, 4, 1, 2, 5, 20, 18, 40, 18, 20, 5, 2, 1, 5, 13, 24, 32, 32, 24, 13, 5, 1, 2, 6, 30, 33, 98, 58, 98, 33, 30, 6, 2, 1, 6, 18, 43, 73, 94, 94, 73, 43, 18, 6, 1, 2, 7, 42, 55, 204, 151, 338, 151, 204
Offset: 1
Examples
Some solutions for n=5 k=4 ..0..0..0..1....0..0..0..1....0..0..1..1....0..0..0..0....0..0..0..0 ..0..0..0..1....0..0..0..1....0..0..1..1....0..0..0..0....0..0..1..1 ..0..0..1..1....0..0..0..1....0..0..1..1....0..0..1..1....0..0..1..1 ..0..1..1..1....0..1..1..1....0..0..1..1....1..1..1..1....0..0..1..1 ..0..1..1..1....1..1..1..1....0..0..1..1....1..1..1..1....1..1..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..3037
Crossrefs
Column 2 is A004526(n+2)
Column 3 odd terms are A002378((n+1)/2)
Column 3 even terms are A000982((n+2)/2)
Column 4 is A001973
Column 5 even terms are A188183((n-2)/2)
Column 6 is A001977
Column 7 even terms are A188185((n-4)/2)
Column 8 is A001981
Column 10 is A183913
Column 12 is A183914
Column 14 is A183915
Column 16 is A183916
Comments