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 A347775 #7 Sep 13 2021 11:37:13 %S A347775 1,1,2,4,8,16,30,55,94,151,227,326,450,603,786,1005,1259,1543,1856, %T A347775 2201,2571,2978,3417,3896,4402,4950,5506,6104,6710,7366,8040,8792, %U A347775 9526,10342,11150,12042,12918,13977,14975,16145,17242,18514,19628,21015,22170,23671,24940 %N A347775 Number of compositions (ordered partitions) of n into at most 5 prime powers (including 1). %t A347775 Table[Length@Flatten[Permutations/@IntegerPartitions[n,5,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,46}] (* _Giorgos Kalogeropoulos_, Sep 13 2021 *) %Y A347775 Cf. A000961, A280543, A341134, A347762, A347763, A347764, A347776. %K A347775 nonn %O A347775 0,3 %A A347775 _Ilya Gutkovskiy_, Sep 13 2021