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A338887 a(n) is the size of the set {x + y*z | x*y + z = n}, where x, y, and z are positive integers. 2
0, 1, 1, 2, 3, 3, 5, 6, 7, 9, 12, 10, 14, 15, 16, 19, 23, 19, 27, 24, 28, 30, 34, 30, 42, 38, 39, 39, 48, 42, 58, 50, 53, 56, 65, 51, 71, 67, 67, 68, 85, 68, 88, 76, 82, 85, 98, 76, 107, 95, 101, 94, 117, 96, 118, 108, 114, 121, 137, 100, 142, 131, 134, 130, 154 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Peter Kagey, Table of n, a(n) for n = 1..1000

FORMULA

a(n) <= A338886(n).

EXAMPLE

The a(7) = 5 solutions are:

2 + 3 * 1 =  5 (corresponding to 2 * 3 + 1 = 7),

1 + 6 * 1 =  7 (corresponding to 1 * 6 + 1 = 7),

2 + 2 * 3 =  8 (corresponding to 2 * 2 + 3 = 7),

1 + 5 * 2 = 11 (corresponding to 1 * 5 + 2 = 7), and

1 + 4 * 3 = 13 (corresponding to 1 * 4 + 3 = 7).

CROSSREFS

Cf. A228286, A338886.

Sequence in context: A251419 A036410 A008670 * A338886 A218950 A193748

Adjacent sequences:  A338884 A338885 A338886 * A338888 A338889 A338890

KEYWORD

nonn

AUTHOR

Peter Kagey, Nov 14 2020

STATUS

approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)