A200274 Number of 0..n arrays x(0..6) of 7 elements with zero 4th differences.
2, 5, 8, 13, 18, 37, 64, 97, 140, 207, 286, 399, 528, 687, 878, 1127, 1408, 1749, 2130, 2607, 3128, 3743, 4414, 5191, 6056, 7067, 8156, 9387, 10706, 12241, 13876, 15717, 17670, 19829, 22172, 24787, 27542, 30571, 33752, 37317, 41058, 45153, 49440, 54073
Offset: 1
Keywords
Examples
Some solutions for n=6 ..4....6....0....5....5....2....1....3....4....1....3....0....5....3....6....2 ..2....3....4....6....1....2....0....5....6....1....1....6....5....1....4....0 ..2....1....4....5....0....2....1....6....6....1....1....6....5....0....4....0 ..3....0....2....3....1....2....3....6....5....1....2....3....5....0....5....1 ..4....0....0....1....3....2....5....5....4....1....3....0....5....1....6....2 ..4....1....0....0....5....2....6....3....4....1....3....0....5....3....6....2 ..2....3....4....1....6....2....5....0....6....1....1....6....5....6....4....0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..200
Crossrefs
Cf. A200272.
Formula
Empirical: a(n) = a(n-5) +a(n-9) +a(n-10) -a(n-14) -a(n-15) -a(n-19) +a(n-20) +a(n-24) -a(n-25) -a(n-29) -a(n-30) +a(n-34) +a(n-35) +a(n-36) +a(n-39) -a(n-41) -a(n-44) -a(n-45) -a(n-46) +a(n-50) +a(n-51) +a(n-55) -a(n-56) -a(n-60) +a(n-61) +a(n-65) +a(n-66) -a(n-70) -a(n-71) -a(n-75) +a(n-80).
Comments