A203638 T(n,k)=Number of nXk 0..1 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other

2, 4, 4, 4, 4, 4, 2, 6, 6, 2, 8, 6, 8, 6, 8, 12, 26, 52, 52, 26, 12, 6, 90, 236, 154, 236, 90, 6, 32, 222, 492, 3824, 3824, 492, 222, 32, 56, 674, 7636, 34648, 58816, 34648, 7636, 674, 56, 32, 2158, 41300, 103690, 951900, 951900, 103690, 41300, 2158, 32, 160, 6546

Offset

1,1

Comments

Table starts

..2...4.....4.......2.........8..........12.............6..............32

..4...4.....6.......6........26..........90...........222.............674

..4...6.....8......52.......236.........492..........7636...........41300

..2...6....52.....154......3824.......34648........103690.........3172388

..8..26...236....3824.....58816......951900......16080792.......278135578

.12..90...492...34648....951900.....8752012.....835055180.....26168432516

..6.222..7636..103690..16080792...835055180...14513555724...2569455032894

.32.674.41300.3172388.278135578.26168432516.2569455032894.259726000943352

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions for n=5 k=3
..0..0..0....0..0..0....0..0..1....0..0..1....1..0..0....0..0..1....1..1..1
..0..0..0....1..0..0....0..0..0....0..0..1....1..1..0....1..0..0....0..0..1
..1..0..1....0..1..1....0..1..1....0..0..1....1..0..0....0..0..0....0..1..1
..1..1..1....0..1..1....0..1..1....1..1..1....1..0..0....1..1..1....0..0..1
..0..1..1....0..1..1....1..1..1....1..0..1....1..1..1....1..1..1....0..0..1

Crossrefs

Sequence in context: A036264 A105192 A345438 * A040002 A151798 A334897

Adjacent sequences: A203635 A203636 A203637 * A203639 A203640 A203641

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2012

Status

approved