A251402 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

226, 3205, 3205, 45542, 165498, 45542, 647154, 8558283, 8558283, 647154, 9195809, 442476530, 1606734480, 442476530, 9195809, 130668665, 22875877611, 301644677965, 301644677965, 22875877611, 130668665, 1856748750

Offset

1,1

Comments

Table starts

.....226........3205..........45542.............647154...............9195809

....3205......165498........8558283..........442476530...........22875877611

...45542.....8558283.....1606734480.......301644677965........56631282128854

..647154...442476530...301644677965....205729518595782....140311657486510902

.9195809.22875877611.56631282128854.140311657486510902.347621346436641654516

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 16*a(n-1) -30*a(n-2) +69*a(n-3) -62*a(n-4) +30*a(n-5) -8*a(n-6) +a(n-7)

k=2: [order 25]

k=3: [order 81]

Example

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

Crossrefs

Sequence in context: A251605 A233943 A234155 * A251395 A251507 A251500

Adjacent sequences: A251399 A251400 A251401 * A251403 A251404 A251405

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved