This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A347740 #9 Sep 12 2021 09:49:58
%S A347740 1,0,1,1,1,3,2,6,5,6,9,7,11,9,9,12,13,13,16,15,16,21,17,22,21,23,23,
%T A347740 30,19,31,18,33,22,39,19,39,29,43,27,48,15,52,26,51,30,56,25,67,31,62,
%U A347740 38,67,30,82,28,77,36,79,25,88,33,90,41,95,25,105,42,106,40,99,22
%N A347740 Number of compositions (ordered partitions) of n into at most 3 prime parts.
%F A347740 a(n) = Sum_{k=1..3} A121303(n,k) for n >= 2. - _Alois P. Heinz_, Sep 11 2021
%t A347740 Table[Length@Flatten[Permutations/@IntegerPartitions[n,3,Prime@Range@PrimePi@n],1],{n,0,70}] (* _Giorgos Kalogeropoulos_, Sep 12 2021 *)
%Y A347740 Cf. A000040, A023360, A098238, A121303, A347739, A347741, A347742, A347743.
%K A347740 nonn
%O A347740 0,6
%A A347740 _Ilya Gutkovskiy_, Sep 11 2021