A252000 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 4 5 or 7

1198, 6094, 6094, 43572, 77488, 43572, 340164, 1209382, 1209382, 340164, 2708560, 19275074, 38479934, 19275074, 2708560, 21680096, 308552418, 1231596986, 1231596986, 308552418, 21680096, 173871388, 4946174244, 39474106776

Offset

1,1

Comments

Table starts

......1198........6094..........43572............340164..............2708560

......6094.......77488........1209382..........19275074............308552418

.....43572.....1209382.......38479934........1231596986..........39474106776

....340164....19275074.....1231596986.......78911024030........5058864059512

...2708560...308552418....39474106776.....5058864059512......648649767997560

..21680096..4946174244..1265816542694...324452741031424....83204478074887540

.173871388.79312163374.40596220326266.20811403922202520.10674144780289546954

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: [linear recurrence of order 31] for n>35

k=2: [order 53] for n>57

k=3: [order 96] for n>101

Example

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

Crossrefs

Sequence in context: A113898 A059401 A059402 * A251993 A250379 A190833

Adjacent sequences: A251997 A251998 A251999 * A252001 A252002 A252003

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2014

Status

approved