A224036 Number of nX6 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.
7, 34, 119, 363, 1064, 3107, 9125, 26928, 79800, 237348, 708163, 2118654, 6353180, 19088180, 57442255, 173085671, 522085599, 1576088206, 4761041486, 14389487483, 43507313943, 131587493711, 398081815019, 1204514245101, 3645147239577
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0 ..0..0..0..0..0..0....0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..0..0 ..0..0..0..1..1..1....1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..0..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 7*a(n-1) -15*a(n-2) +6*a(n-3) +11*a(n-4) -4*a(n-5) -7*a(n-6) +6*a(n-7) -6*a(n-8) +8*a(n-9) -8*a(n-10) +16*a(n-11) for n>13
Comments