A233875 - OEIS

A233875

T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21

224, 1176, 1176, 5984, 5404, 5984, 34416, 26488, 26488, 34416, 189632, 155104, 139880, 155104, 189632, 1128928, 909408, 907940, 907940, 909408, 1128928, 6414208, 5878272, 6146640, 6887232, 6146640, 5878272, 6414208, 38622656

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OFFSET

1,1

COMMENTS

Table starts

........224........1176.........5984........34416........189632.......1128928

.......1176........5404........26488.......155104........909408.......5878272

.......5984.......26488.......139880.......907940.......6146640......46051092

......34416......155104.......907940......6887232......57147272.....530983144

.....189632......909408......6146640.....57147272.....608085728....7353231356

....1128928.....5878272.....46051092....530983144....7353231356..117645672328

....6414208....36964980....343425768...5012939992...91827779048.1973200783776

...38622656...249710396...2756337624..50952500976.1235220618536

..222041856..1622032500..21588683624.512188465988

.1341849472.11215026376.180216035036

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 71]

EXAMPLE

Some solutions for n=3 k=4

..0..7..7..7..6....0..4..1..4..7....0..1..1..7..1....0..3..0..7..1

..0..0..7..0..6....4..7..1..7..1....1..7..4..1..0....0..6..6..6..3

..7..0..0..0..3....7..1..4..1..4....4..7..1..7..1....3..0..3..0..6

..3..3..6..3..7....4..1..7..7..1....1..1..0..1..0....6..6..6..6..3

CROSSREFS

Sequence in context: A158227 A061524 A156813 * A233869 A146745 A015048

Adjacent sequences: A233872 A233873 A233874 * A233876 A233877 A233878

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2013

STATUS

approved