A203297 Number of arrays of 14 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero.
8, 36, 280, 1844, 9880, 43958, 168314, 568933, 1734054, 4842044, 12545910, 30469542, 69935848, 152731858, 319150868, 641127127, 1243115122, 2334434336, 4258292458, 7564553798, 13115830616, 22239519138, 36942424868, 60209406935
Offset: 1
Keywords
Examples
Some solutions for n=3 .-2...-3...-3...-3...-3...-3...-3...-3...-3...-3...-2...-3...-2...-3...-3...-3 .-2...-2...-3...-2...-3...-3....0...-3...-2...-3...-2...-3...-2...-3...-3...-3 ..0...-1...-3...-2...-2...-2....0...-2...-2...-2...-2...-3...-2...-2...-3...-1 ..0...-1...-3...-2...-2...-2....0...-2...-2...-2...-2...-2...-2...-1...-2...-1 ..0...-1...-3...-2...-2...-2....0...-2...-1...-1....0...-1...-2...-1...-2...-1 ..0...-1...-1....0....0...-1....0...-2...-1...-1....0...-1...-2...-1...-1...-1 ..0....0....0....0....0....0....0....0....0...-1....0...-1...-1....0...-1....0 ..0....0....0....0....0....0....0....0....0....1....0....2....1....0....1....0 ..0....1....1....0....0....1....0....1....1....2....0....2....1....1....1....1 ..0....1....3....2....1....1....0....1....1....2....0....2....1....1....1....1 ..0....1....3....2....2....2....0....3....2....2....1....2....1....2....3....1 ..0....2....3....2....3....3....0....3....2....2....1....2....3....2....3....1 ..2....2....3....2....3....3....0....3....2....2....3....2....3....2....3....3 ..2....2....3....3....3....3....3....3....3....2....3....2....3....3....3....3
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +a(n-4) -a(n-5) +4*a(n-6) -3*a(n-7) +3*a(n-8) +3*a(n-9) -4*a(n-10) -2*a(n-11) -3*a(n-12) -2*a(n-13) +8*a(n-15) +7*a(n-17) -2*a(n-18) -a(n-19) -5*a(n-20) -13*a(n-21) +3*a(n-22) +a(n-23) +5*a(n-24) +6*a(n-25) +5*a(n-26) +a(n-27) +3*a(n-28) -13*a(n-29) -5*a(n-30) -a(n-31) -2*a(n-32) +7*a(n-33) +8*a(n-35) -2*a(n-37) -3*a(n-38) -2*a(n-39) -4*a(n-40) +3*a(n-41) +3*a(n-42) -3*a(n-43) +4*a(n-44) -a(n-45) +a(n-46) -3*a(n-47) -a(n-48) +3*a(n-49) -a(n-50)
Comments