A350804 - OEIS

%I #13 Jan 17 2022 14:11:44

%S 2,4,8,10,14,15,16,22,26,32,34,35,38,44,46,50,52,58,62,63,64,68,74,75,

%T 76,77,82,86,91,92,94,98,99,106,116,117,118,122,124,128,134,136,142,

%U 143,146,148,152,153,158,164,166,172,175,178,184,187,188,189,194,202,206,209

%N Numbers k with exactly one partition into two parts (s,t), s<=t, such that t | s*k.

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

%e 15 is in the sequence since 15 = 6+9 has exactly one partition into two parts (6,9) such that 9 | 6*15 = 90.

%o (PARI) f(n) = sum(s=1, n\2, !((s*n)%(n-s))); \\ A338021

%o isok(k) = f(k) == 1; \\ _Michel Marcus_, Jan 17 2022

%Y Cf. A338021, A350803 (at least one).

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, Jan 16 2022