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

Author

R. H. Hardin May 20 2012

Keywords

• nonn

Comments

Column 6 of A212536

Examples

			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
		

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)