A237009 Number of (n+1)X(2+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal

704, 1632, 3928, 10776, 30248, 92328, 286168, 938568, 3112424, 10749192, 37426648, 134315976, 484881128, 1790797128, 6641272408, 25056319368, 94795789544, 363296575752, 1394805770968, 5407003029576, 20984006066408, 82025728803528

Offset

1,1

Comments

Column 2 of A237015

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +16*a(n-2) -268*a(n-3) +189*a(n-4) +3388*a(n-5) -5824*a(n-6) -20048*a(n-7) +49756*a(n-8) +52752*a(n-9) -196896*a(n-10) -24192*a(n-11) +369216*a(n-12) -131328*a(n-13) -262656*a(n-14) +165888*a(n-15)

Example

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

Crossrefs

Sequence in context: A185807 A105846 A323342 * A185568 A185799 A186916

Adjacent sequences: A237006 A237007 A237008 * A237010 A237011 A237012

Keyword

nonn

Author

R. H. Hardin, Feb 02 2014

Status

approved