A184003 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with all 2X2 subblock sums the same

81, 171, 171, 361, 309, 361, 855, 579, 579, 855, 2025, 1233, 977, 1233, 2025, 5175, 2691, 1887, 1887, 2691, 5175, 13225, 6417, 3793, 3309, 3793, 6417, 13225, 35535, 15555, 8415, 6111, 6111, 8415, 15555, 35535, 95481, 40041, 19217, 12525, 10449

Offset

1,1

Comments

Table starts

.....81....171....361....855...2025...5175..13225...35535...95481..265431

....171....309....579...1233...2691...6417..15555...40041..104211..282609

....361....579....977...1887...3793...8415..19217...47031..117601..308799

....855...1233...1887...3309...6111..12525..26655...61125..144495..361293

...2025...2691...3793...6111..10449..19935..39697...85431..190305..450111

...5175...6417...8415..12525..19935..35565..66591..134853..282735..628557

..13225..15555..19217..26655..39697..66591.118097..227319..453025..954495

..35535..40041..47031..61125..85431.134853.227319..418461..799815.1612581

..95481.104211.117601.144495.190305.282735.453025..799815.1476081.2878671

.265431.282609.308799.361293.450111.628557.954495.1612581.2878671.5460909

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical, for every row and column: a(n)=6*a(n-1)-60*a(n-3)+85*a(n-4)+150*a(n-5)-360*a(n-6)+396*a(n-8)-216*a(n-9)

Example

Some solutions for 3X3
..2..2..2....1..0..1....1..0..2....2..1..2....0..2..1....0..2..0....1..0..0
..2..0..2....2..1..2....1..1..0....1..2..1....2..0..1....2..1..2....0..1..1
..2..2..2....0..1..0....0..1..1....1..2..1....0..2..1....2..0..2....1..0..0

Crossrefs

Sequence in context: A267696 A232923 A250655 * A183995 A044413 A044794

Adjacent sequences: A184000 A184001 A184002 * A184004 A184005 A184006

Keyword

nonn,tabl

Author

R. H. Hardin Jan 08 2011

Status

approved