A156383 Number of 4X4 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.

1, 6, 10, 6, 7, 22, 22, 6, 10, 28, 32, 22, 12, 28, 48, 22, 7, 44, 54, 28, 32, 54, 44, 22, 22, 58, 96, 58, 18, 86, 112, 28, 10, 74, 92, 86, 51, 50, 108, 54, 32, 108, 130, 58, 44, 130, 96, 44, 12, 82, 174, 116, 54, 92, 186, 74, 48, 106, 102, 116, 74, 114, 160, 106, 7, 164, 224, 88

Offset

0,2

Links

Table of n, a(n) for n=0..67.

Example

All solutions for n=4
...0.0.0.4...0.0.0.4...0.0.4.0...0.4.0.0...1.1.1.1...4.0.0.0...4.0.0.0
...0.0.4.0...0.4.0.0...0.0.0.4...4.0.0.0...1.1.1.1...0.0.4.0...0.4.0.0
...0.4.0.0...0.0.4.0...4.0.0.0...0.0.0.4...1.1.1.1...0.4.0.0...0.0.4.0
...4.0.0.0...4.0.0.0...0.4.0.0...0.0.4.0...1.1.1.1...0.0.0.4...0.0.0.4

Crossrefs

Sequence in context: A235117 A339590 A074288 * A247270 A010726 A084365

Adjacent sequences: A156380 A156381 A156382 * A156384 A156385 A156386

Keyword

nonn

Author

R. H. Hardin Feb 09 2009

Status

approved