A249654 Number of length n+4 0..6 arrays with every five consecutive terms having four times some element equal to the sum of the remaining four

2077, 2589, 3221, 3981, 4877, 5917, 7709, 9957, 12707, 16005, 19897, 26589, 35003, 45331, 57773, 72537, 98073, 130311, 169993, 217901, 274857, 373909, 499355, 654105, 841221, 1063917, 1452913, 1946663, 2556733, 3295241, 4174857, 5716733

Offset

1,1

Comments

Column 6 of A249656

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = a(n-1) +22*a(n-5) -22*a(n-6) -208*a(n-10) +208*a(n-11) +1108*a(n-15) -1108*a(n-16) -3672*a(n-20) +3672*a(n-21) +7922*a(n-25) -7922*a(n-26) -11388*a(n-30) +11388*a(n-31) +11046*a(n-35) -11046*a(n-36) -7181*a(n-40) +7181*a(n-41) +2915*a(n-45) -2915*a(n-46) -560*a(n-50) +560*a(n-51) -61*a(n-55) +61*a(n-56) +54*a(n-60) -54*a(n-61) -8*a(n-65) +8*a(n-66)

Example

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

Crossrefs

Sequence in context: A062913 A096927 A076425 * A180921 A270537 A076581

Adjacent sequences: A249651 A249652 A249653 * A249655 A249656 A249657

Keyword

nonn

Author

R. H. Hardin, Nov 03 2014

Status

approved