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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.

%I A338887 #14 Nov 17 2020 14:08:59
%S A338887 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,
%T A338887 39,39,48,42,58,50,53,56,65,51,71,67,67,68,85,68,88,76,82,85,98,76,
%U A338887 107,95,101,94,117,96,118,108,114,121,137,100,142,131,134,130,154
%N A338887 a(n) is the size of the set {x + y*z | x*y + z = n}, where x, y, and z are positive integers.
%H A338887 Peter Kagey, <a href="/A338887/b338887.txt">Table of n, a(n) for n = 1..1000</a>
%F A338887 a(n) <= A338886(n).
%e A338887 The a(7) = 5 solutions are:
%e A338887 2 + 3 * 1 =  5 (corresponding to 2 * 3 + 1 = 7),
%e A338887 1 + 6 * 1 =  7 (corresponding to 1 * 6 + 1 = 7),
%e A338887 2 + 2 * 3 =  8 (corresponding to 2 * 2 + 3 = 7),
%e A338887 1 + 5 * 2 = 11 (corresponding to 1 * 5 + 2 = 7), and
%e A338887 1 + 4 * 3 = 13 (corresponding to 1 * 4 + 3 = 7).
%Y A338887 Cf. A228286, A338886.
%K A338887 nonn
%O A338887 1,4
%A A338887 _Peter Kagey_, Nov 14 2020