A232526 T(n,k) = number of (n+1) X (k+1) 0..3 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, with top left element <= 1.

4, 4, 4, 2, 16, 2, 8, 19, 19, 8, 10, 50, 223, 50, 10, 2, 124, 619, 619, 124, 2, 22, 575, 523, 25138, 523, 575, 22, 36, 3144, 16285, 84849, 84849, 16285, 3144, 36, 2, 4295, 141433, 150081, 21748991, 150081, 141433, 4295, 2, 94, 6598, 2231968, 32216904, 347675392

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Table starts:
..4....4.......2........8........10.........2.......22.........36........2
..4...16......19.......50.......124.......575.....3144.......4295.....6598
..2...19.....223......619.......523.....16285...141433....2231968.20520962
..8...50.....619....25138.....84849....150081.32216904.3452170860
.10..124.....523....84849..21748991.347675392
..2..575...16285...150081.347675392
.22.3144..141433.32216904
.36.4295.2231968
..2.6598
.94
Some solutions for n=3 and k=4:
..1..3..1..1..2....1..0..2..3..1....0..1..1..0..2....0..2..2..1..2
..2..1..1..3..1....2..1..1..3..1....0..3..3..0..0....1..2..0..1..3
..1..1..3..3..0....1..2..0..1..3....2..1..1..2..0....2..2..2..3..0
..2..2..1..0..3....2..2..3..1..1....1..0..0..1..2....2..1..2..1..2

Crossrefs

Sequence in context: A016708 A105724 A063448 * A358328 A117499 A063570

Adjacent sequences: A232523 A232524 A232525 * A232527 A232528 A232529

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 25 2013

Status

approved