A251396 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

3205, 165498, 8558283, 442476530, 22875877611, 1182680672547, 61144538351375, 3161169623507538, 163432309835512202, 8449442177310959014, 436835734777161324276, 22584385473987175705646, 1167611590864504600763952

Offset

1,1

Comments

Column 2 of A251402

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 64*a(n-1) -765*a(n-2) +7612*a(n-3) -52441*a(n-4) +214718*a(n-5) -593810*a(n-6) +1025324*a(n-7) -199793*a(n-8) -5621360*a(n-9) +22779258*a(n-10) -54455283*a(n-11) +92144141*a(n-12) -114989494*a(n-13) +108478582*a(n-14) -77963792*a(n-15) +41298509*a(n-16) -14996935*a(n-17) +2763273*a(n-18) +672602*a(n-19) -778511*a(n-20) +318339*a(n-21) -73291*a(n-22) +9681*a(n-23) -693*a(n-24) +25*a(n-25)

Example

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

Crossrefs

Sequence in context: A212074 A023308 A171350 * A054036 A236252 A232262

Adjacent sequences: A251393 A251394 A251395 * A251397 A251398 A251399

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved