A252605 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5

303, 567, 567, 1218, 1151, 1218, 2792, 2784, 2784, 2792, 6709, 6978, 7769, 6978, 6709, 16123, 18454, 22623, 22623, 18454, 16123, 39372, 49782, 71730, 81441, 71730, 49782, 39372, 97138, 136336, 232461, 318274, 318274, 232461, 136336, 97138, 239542

Offset

1,1

Comments

Table starts

....303.....567.....1218......2792.......6709.......16123.........39372

....567....1151.....2784......6978......18454.......49782........136336

...1218....2784.....7769.....22623......71730......232461........769153

...2792....6978....22623.....81441.....318274.....1274571.......5243537

...6709...18454....71730....318274....1547711.....7784629......39981376

..16123...49782...232461...1274571....7784629....49281939.....316795305

..39372..136336...769153...5243537...39981376...316795305....2541062469

..97138..380466..2611733..21992185..208234989..2057691985...20524278619

.239542.1070438..8938660..92865411.1092285060.13442718714..166610320583

.594231.3029761.30784161.394359153.5754373518.88067778670.1355378246529

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: [linear recurrence of order 43] for n>47

k=2: [order 66] for n>69

k=3: [order 75] for n>80

Example

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

Crossrefs

Sequence in context: A004227 A255144 A098241 * A252598 A252597 A237093

Adjacent sequences: A252602 A252603 A252604 * A252606 A252607 A252608

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2014

Status

approved