A200206 Number of -n..n arrays x(0..4) of 5 elements with zero sum and nonzero second and third differences

22, 246, 1106, 3196, 7450, 14842, 26932, 44910, 71050, 106802, 155056, 217506, 297896, 397820, 522032, 672214, 853824, 1068640, 1323238, 1619004, 1963760, 2358796, 2812794, 3326992, 3911394, 4566542, 5303990, 6124024, 7039122, 8049358

Offset

1,1

Comments

Row 2 of A200204

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = a(n-1) +a(n-3) -a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) -2*a(n-9) +2*a(n-13) -2*a(n-14) +2*a(n-15) -a(n-16) +a(n-17) -a(n-19) -a(n-21) +a(n-22)

Example

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

Crossrefs

Sequence in context: A041930 A249092 A125410 * A252819 A109251 A268791

Adjacent sequences: A200203 A200204 A200205 * A200207 A200208 A200209

Keyword

nonn

Author

R. H. Hardin Nov 14 2011

Status

approved