A212533 Number of nondecreasing sequences of n 1..5 integers with every element dividing the sequence sum

5, 5, 8, 12, 21, 21, 33, 40, 57, 70, 90, 101, 132, 153, 208, 262, 343, 401, 491, 546, 625, 667, 737, 770, 851, 889, 989, 1070, 1226, 1361, 1592, 1787, 2070, 2305, 2616, 2864, 3198, 3444, 3781, 4045, 4399, 4670, 5070, 5391, 5860, 6254, 6786, 7235, 7843, 8336

Offset

1,1

Comments

Column 5 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) -2*a(n-5) +a(n-8) +a(n-9) -a(n-10) +a(n-60) -a(n-61) -a(n-62) +2*a(n-65) -a(n-68) -a(n-69) +a(n-70)

Example

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

Crossrefs

Sequence in context: A003861 A107623 A218333 * A081287 A303715 A204188

Adjacent sequences: A212530 A212531 A212532 * A212534 A212535 A212536

Keyword

nonn

Author

R. H. Hardin May 20 2012

Status

approved