A233879 Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

760, 5156, 33656, 251532, 1768660, 14111768, 103547288, 858513368, 6440961128, 54554580804, 413974622656, 3548715192184, 27091433272416, 233867231401352, 1791402389131776, 15529726061076424, 119191486778549872

Offset

1,1

Comments

Column 4 of A233883

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +111*a(n-2) -1347*a(n-3) -2952*a(n-4) +61962*a(n-5) -23589*a(n-6) -1303743*a(n-7) +2061738*a(n-8) +13676265*a(n-9) -32627870*a(n-10) -74205472*a(n-11) +248050297*a(n-12) +184715702*a(n-13) -1058894761*a(n-14) +18879451*a(n-15) +2642739884*a(n-16) -1291495298*a(n-17) -3771977707*a(n-18) +3244720225*a(n-19) +2774675096*a(n-20) -3693043205*a(n-21) -677649206*a(n-22) +2114258648*a(n-23) -285661000*a(n-24) -570117698*a(n-25) +190279800*a(n-26) +48545460*a(n-27) -28512000*a(n-28) +2851200*a(n-29)

Example

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

Crossrefs

Sequence in context: A258135 A247400 A234892 * A165629 A151633 A022051

Adjacent sequences: A233876 A233877 A233878 * A233880 A233881 A233882

Keyword

nonn

Author

R. H. Hardin, Dec 17 2013

Status

approved