A233812 Number of (n+1)X(2+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

428, 2216, 10972, 59164, 301132, 1671748, 8669484, 49193332, 258472076, 1489731188, 7897386348, 46003922580, 245314826316, 1439035206612, 7702769372076, 45388322272500, 243536496830348, 1439109535539508

Offset

1,1

Comments

Column 2 of A233818

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +74*a(n-2) -386*a(n-3) -1919*a(n-4) +10855*a(n-5) +21122*a(n-6) -141906*a(n-7) -86736*a(n-8) +918488*a(n-9) -46708*a(n-10) -2918256*a(n-11) +1088816*a(n-12) +4381664*a(n-13) -2361152*a(n-14) -2591360*a(n-15) +1642176*a(n-16) +224256*a(n-17) -168192*a(n-18)

Example

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

Crossrefs

Sequence in context: A030467 A253505 A173798 * A231047 A177328 A243833

Adjacent sequences: A233809 A233810 A233811 * A233813 A233814 A233815

Keyword

nonn

Author

R. H. Hardin, Dec 16 2013

Status

approved