%I #20 Mar 31 2021 03:54:14

%S 1,2,4,8,12,16,24,32,36,48,60,64,72,84,96,108,120,128,132,136,144,168,

%T 180,192,216,240,252,256,264,272,288,300,324,336,360,384,396,408,420,

%U 432,480,504,512,528,540,544,576,588,600,648,660,672,720,756,768

%N Numbers k such that k | A000129(k).

%C These are the numbers k such that mean of the k-th row of the Delannoy triangle at A027926 is an integer. All such k except 0 and 1 are multiples of 4.

%C Is A181824 a subsequence? The first 31 terms appear in this sequence. - _Jaycob Coleman_, Mar 08 2015 [The first 323 terms of A181824 appear in this sequence. - _Amiram Eldar_, Mar 31 2021]

%H Amiram Eldar, <a href="/A246692/b246692.txt">Table of n, a(n) for n = 1..10000</a>

%e Row 4 of the Delannoy triangle is (1,5,5,1), with sum 12 = A000129(4) divisible by 4.

%t z = 1000; t = LinearRecurrence[{2, 1}, {1, 2}, z]; (* A000129 *)

%t Select[Range[1, z], IntegerQ[t[[#]]/#] &] (* A246692 *)

%t Table[t[[u[[n]]]]/u[[n]], {n, 1, 17}] (* A246693 *)

%Y Cf. A246693, A000129, A027926.

%Y Cf. A181824.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Sep 01 2014