A233962 Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10

728, 3976, 21272, 134044, 840136, 5908796, 40707148, 300964068, 2170249820, 16319809356, 120174249084, 907678421084, 6751563124588, 51016375904376, 381455757341724, 2880603783823300, 21600602128435664, 162999821582725560

Offset

1,1

Comments

Column 3 of A233967

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +31*a(n-2) -1396*a(n-3) +2653*a(n-4) +51714*a(n-5) -174135*a(n-6) -1048642*a(n-7) +4568556*a(n-8) +13206552*a(n-9) -69675134*a(n-10) -110040243*a(n-11) +692530682*a(n-12) +626223287*a(n-13) -4730984068*a(n-14) -2448897493*a(n-15) +22858856946*a(n-16) +6357801357*a(n-17) -79394291518*a(n-18) -9325291758*a(n-19) +199923021296*a(n-20) -23907331*a(n-21) -365908349411*a(n-22) +34128121167*a(n-23) +485101885188*a(n-24) -82901695912*a(n-25) -461141546148*a(n-26) +108852864503*a(n-27) +308761092196*a(n-28) -88956808820*a(n-29) -141933147555*a(n-30) +45953728822*a(n-31) +43469138372*a(n-32) -14674989574*a(n-33) -8649583694*a(n-34) +2801908488*a(n-35) +1098165952*a(n-36) -309043744*a(n-37) -85338496*a(n-38) +18684416*a(n-39) +3638272*a(n-40) -557056*a(n-41) -64000*a(n-42) +6144*a(n-43)

Example

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

Crossrefs

Sequence in context: A050219 A051383 A293650 * A203672 A203665 A203913

Adjacent sequences: A233959 A233960 A233961 * A233963 A233964 A233965

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved