A234091 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1))

144, 828, 828, 4720, 5928, 4720, 28328, 42980, 42980, 28328, 171136, 344540, 391232, 344540, 171136, 1058160, 2819612, 4090992, 4090992, 2819612, 1058160, 6567360, 24256020, 44020608, 57076708, 44020608, 24256020, 6567360, 41201312, 210130764

Offset

1,1

Comments

Table starts

.....144.......828.......4720........28328........171136.........1058160

.....828......5928......42980.......344540.......2819612........24256020

....4720.....42980.....391232......4090992......44020608.......513164308

...28328....344540....4090992.....57076708.....823143024.....13168405216

..171136...2819612...44020608....823143024...15831135568....344607516548

.1058160..24256020..513164308..13168405216..344607516548..10312421814724

.6567360.210130764.6042237368.214483249704.7674912649456.317529314941288

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 39]

Example

Some solutions for n=2 k=4
..3..1..2..4..4....0..3..0..1..0....0..1..0..3..0....3..1..3..5..3
..2..4..1..1..3....2..1..0..3..2....0..3..2..3..2....2..0..2..4..2
..5..3..2..4..4....4..3..2..1..4....1..0..3..0..3....3..3..1..1..1

Crossrefs

Sequence in context: A210724 A237738 A237734 * A234084 A223235 A187301

Adjacent sequences: A234088 A234089 A234090 * A234092 A234093 A234094

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2013

Status

approved