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 A347797 #7 Sep 14 2021 08:56:16
%S A347797 1,1,1,1,2,2,4,6,5,10,14,15,24,21,35,45,48,65,77,89,114,129,148,184,
%T A347797 205,239,285,310,361,410,459,522,593,636,740,804,911,969,1123,1169,
%U A347797 1350,1428,1595,1687,1926,1974,2270,2325,2611,2726,3064,3120,3547,3596,4012,4155
%N A347797 Number of compositions (ordered partitions) of n into at most 4 nonprime parts.
%t A347797 Table[Length@Flatten[Permutations/@IntegerPartitions[n,4,Select[Range@n,!PrimeQ@#&]],1],{n,0,55}] (* _Giorgos Kalogeropoulos_, Sep 14 2021 *)
%Y A347797 Cf. A018252, A052284, A341481, A347788, A347796, A347798, A347799.
%K A347797 nonn
%O A347797 0,5
%A A347797 _Ilya Gutkovskiy_, Sep 14 2021