A212534 Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum

6, 6, 11, 17, 30, 40, 69, 91, 130, 166, 224, 296, 439, 606, 841, 1080, 1352, 1594, 1877, 2112, 2397, 2672, 3055, 3500, 4159, 4932, 5966, 7144, 8568, 10073, 11781, 13488, 15367, 17256, 19348, 21511, 23999, 26623, 29660, 32913, 36620, 40561, 45024, 49719

Offset

1,1

Comments

Column 6 of A212536

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-5) -a(n-6) -a(n-7) +a(n-8) +a(n-9) +a(n-10) -a(n-13) -a(n-14) +a(n-15) +a(n-60) -a(n-61) -a(n-62) +a(n-65) +a(n-66) +a(n-67) -a(n-68) -a(n-69) -a(n-70) +a(n-73) +a(n-74) -a(n-75)

Example

Some solutions for n=8
..1....2....3....2....1....2....1....2....1....2....1....2....2....1....1....1
..1....2....3....2....1....2....3....2....1....4....1....2....2....1....1....1
..1....3....3....2....1....3....3....2....1....4....2....2....2....2....2....2
..3....3....3....2....1....3....3....2....1....4....3....6....2....2....3....2
..4....3....3....2....2....3....5....2....1....4....3....6....3....2....5....4
..4....3....3....2....4....5....5....2....2....6....4....6....3....4....6....4
..4....4....3....6....5....6....5....3....2....6....4....6....4....4....6....4
..6....4....3....6....5....6....5....3....3....6....6....6....6....4....6....6

Crossrefs

Sequence in context: A346530 A163757 A109538 * A173319 A359257 A040031

Adjacent sequences: A212531 A212532 A212533 * A212535 A212536 A212537

Keyword

nonn

Author

R. H. Hardin May 20 2012

Status

approved