A232614 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with every row sum{j*x(i,j), j=1..k+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal

5, 5, 5, 3, 13, 3, 9, 13, 13, 9, 11, 23, 61, 23, 11, 3, 45, 93, 93, 45, 3, 23, 105, 105, 713, 105, 105, 23, 37, 297, 493, 1521, 1521, 493, 297, 37, 3, 583, 1927, 6561, 40917, 6561, 1927, 583, 3, 95, 1419, 16121, 53539, 193015, 193015, 53539, 16121, 1419, 95, 159

Offset

1,1

Comments

Table starts

..5....5......3.......9.......11........3.......23.......37.........3.......95

..5...13.....13......23.......45......105......297......583......1419.....4299

..3...13.....61......93......105......493.....1927....16121.....63829...119777

..9...23.....93.....713.....1521.....6561....53539...912585...2788563.18652349

.11...45....105....1521....40917...193015..1135417.14754807.209747055

..3..105....493....6561...193015.10996137.58912359

.23..297...1927...53539..1135417.58912359

.37..583..16121..912585.14754807

..3.1419..63829.2788563

.95.4299.119777

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Sequence in context: A302552 A193887 A196998 * A254609 A133707 A171372

Adjacent sequences: A232611 A232612 A232613 * A232615 A232616 A232617

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2013

Status

approved