A203739 Number of (n+1)X7 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

111916, 1868452, 24571387, 240425612, 1908258519, 12852015708, 75830205850, 399483991424, 1908845910085, 8365025807282, 33942674477581, 128468487589144, 456538052055384, 1531569121486024, 4874303835461125, 14778615854653562

Offset

1,1

Comments

Column 6 of A203741

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical: a(n) = 14*a(n-1) -74*a(n-2) +126*a(n-3) +410*a(n-4) -2282*a(n-5) +2318*a(n-6) +9382*a(n-7) -28588*a(n-8) +1730*a(n-9) +111930*a(n-10) -148590*a(n-11) -181090*a(n-12) +617930*a(n-13) -152270*a(n-14) -1299718*a(n-15) +1460827*a(n-16) +1319948*a(n-17) -3623652*a(n-18) +516460*a(n-19) +5073956*a(n-20) -4095844*a(n-21) -3851316*a(n-22) +7152444*a(n-23) -7152444*a(n-25) +3851316*a(n-26) +4095844*a(n-27) -5073956*a(n-28) -516460*a(n-29) +3623652*a(n-30) -1319948*a(n-31) -1460827*a(n-32) +1299718*a(n-33) +152270*a(n-34) -617930*a(n-35) +181090*a(n-36) +148590*a(n-37) -111930*a(n-38) -1730*a(n-39) +28588*a(n-40) -9382*a(n-41) -2318*a(n-42) +2282*a(n-43) -410*a(n-44) -126*a(n-45) +74*a(n-46) -14*a(n-47) +a(n-48) for n>67

Example

Some solutions for n=4
..0..3..1..2..1..1..1....3..0..0..1..2..3..3....1..2..0..0..1..1..3
..2..1..3..2..3..3..3....0..3..3..3..3..3..3....2..1..3..3..3..3..3
..1..2..2..3..3..3..3....2..3..3..3..3..3..3....2..3..3..3..3..3..3
..3..3..3..3..3..3..3....2..3..3..3..3..3..3....3..3..3..3..3..3..3
..3..3..3..3..3..3..3....2..3..3..3..3..3..3....3..3..3..3..3..3..3

Crossrefs

Sequence in context: A210059 A236892 A237154 * A172699 A180467 A210131

Adjacent sequences: A203736 A203737 A203738 * A203740 A203741 A203742

Keyword

nonn

Author

R. H. Hardin Jan 05 2012

Status

approved