A200085 Number of 0..n arrays x(0..6) of 7 elements with zero 5th differences.
2, 9, 18, 37, 108, 245, 454, 759, 1172, 2001, 3144, 4663, 6568, 8945, 12690, 17353, 23022, 29787, 37710, 48921, 62130, 77465, 95100, 115177, 141596, 171767, 205850, 244065, 286652, 340277, 400038, 466375, 539488, 619685, 717388, 824733, 942014
Offset: 1
Keywords
Examples
Some solutions for n=6 ..6....3....0....6....5....5....5....6....5....0....2....5....0....3....0....0 ..5....5....1....4....1....6....5....2....1....4....1....2....3....3....5....6 ..3....3....0....3....1....2....6....0....3....6....2....3....1....5....5....6 ..3....1....0....2....3....0....5....1....4....5....3....5....0....6....3....5 ..5....1....2....1....5....2....2....4....2....2....3....6....2....5....1....5 ..6....3....5....1....5....5....0....6....0....0....2....5....5....3....0....5 ..0....5....6....4....1....1....5....2....6....4....1....2....3....3....0....1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..200
Formula
Empirical: a(n) = a(n-1) +a(n-5) -a(n-7) +a(n-10) -2*a(n-11) +a(n-12) -a(n-16) +a(n-17) -a(n-20) +a(n-21) -a(n-25) +2*a(n-26) -a(n-27) +a(n-30) -a(n-32) -a(n-36) +a(n-37) +a(n-45) -a(n-46) -a(n-50) +a(n-52) -a(n-55) +2*a(n-56) -a(n-57) +a(n-61) -a(n-62) +a(n-65) -a(n-66) +a(n-70) -2*a(n-71) +a(n-72) -a(n-75) +a(n-77) +a(n-81) -a(n-82)
Comments