A200084 Number of 0..n arrays x(0..5) of 6 elements with zero 4th differences

2, 7, 14, 27, 58, 111, 182, 279, 404, 617, 872, 1199, 1580, 2045, 2678, 3437, 4300, 5305, 6430, 7903, 9530, 11389, 13420, 15707, 18460, 21537, 24870, 28553, 32518, 37265, 42342, 47905, 53828, 60267, 67620, 75589, 84034, 93127, 102734, 113729, 125300

Offset

1,1

Comments

Row 5 of A200082

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +2*a(n-10) -2*a(n-11) -2*a(n-12) +2*a(n-13) +a(n-15) -a(n-16) -a(n-17) +a(n-18) -a(n-20) +a(n-21) +a(n-22) -a(n-23) -2*a(n-25) +2*a(n-26) +2*a(n-27) -2*a(n-28) +a(n-35) -a(n-36) -a(n-37) +a(n-38)

Example

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

Crossrefs

Sequence in context: A294541 A294564 A068040 * A184704 A295963 A221317

Adjacent sequences: A200081 A200082 A200083 * A200085 A200086 A200087

Keyword

nonn

Author

R. H. Hardin Nov 13 2011

Status

approved