A233934 Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 16

312, 1996, 12880, 88572, 609912, 4361260, 30999664, 226112364, 1632434488, 12023904092, 87476145488, 647317646108, 4727495091576, 35056982203980, 256540627260976, 1904048129719436, 13948922790405176, 103557690225690108

Offset

1,1

Comments

Column 1 of A233939

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +56*a(n-2) -828*a(n-3) +457*a(n-4) +18458*a(n-5) -42836*a(n-6) -129360*a(n-7) +480656*a(n-8) +107168*a(n-9) -1616128*a(n-10) +780160*a(n-11) +1960960*a(n-12) -1441792*a(n-13) -809984*a(n-14) +628736*a(n-15) +122880*a(n-16) -65536*a(n-17)

Example

Some solutions for n=4
..2..3....6..1....2..3....6..6....5..0....5..7....2..7....3..4....2..7....5..6
..6..1....6..5....5..0....1..5....3..2....2..6....5..6....6..1....5..6....4..1
..2..1....2..7....1..0....0..0....7..2....1..3....6..1....2..3....6..1....5..6
..3..6....3..2....5..0....5..1....5..4....2..6....3..2....5..0....3..2....1..4
..2..1....5..0....4..5....5..1....7..2....2..6....7..4....0..1....7..2....5..6

Crossrefs

Sequence in context: A237551 A270608 A233939 * A289793 A364992 A022044

Adjacent sequences: A233931 A233932 A233933 * A233935 A233936 A233937

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved