A285387 Number of ordered (n+1)-tuples of positive integers (s_1, s_2, ..., s_{n+1}) with s_(n+1) - s_n - ... - s_1 = s_(n+1)/(s_n * ... * s_1).

1, 3, 3, 7, 3, 6, 6, 6, 5, 9, 5, 12, 6, 6, 6, 11, 7, 12, 6, 11

Offset

1,2

Comments

a(n) >= 3 for n > 1: (1, ..., 1, 2, 2*(n+1)); (1, ..., 1, (n+1), 2*(n+1)) and (1, ..., 1, 2, n+1, 2*(n+1)) are always solutions.

Links

Table of n, a(n) for n=1..20.

Example

For n=2, there are 3 solutions:
(1, 2, 6) is a solution since 6 / (2 * 1) = 3 = 6 - 2 - 1;
(1, 3, 6) is a solution since 6 / (3 * 1) = 2 = 6 - 3 - 1;
(2, 3, 6) is a solution since 6 / (3 * 2) = 1 = 6 - 3 - 2.

Crossrefs

Sequence in context: A249806 A249382 A317929 * A100803 A036840 A159913

Adjacent sequences: A285384 A285385 A285386 * A285388 A285389 A285390

Keyword

nonn,more

Author

Reiner Moewald, Apr 18 2017

Status

approved