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 A124829 #6 Feb 06 2020 20:54:29 %S A124829 1,2,1,1,3,2,1,4,1,2,3,1,1,1,1,5,2,2,4,1,1,3,2,1,1,6,3,2,1,2,1,5,1,2, %T A124829 3,3,1,1,7,4,2,1,1,2,1,4,2,2,1,6,1,1,1,1,1,3,3,4,1,1,8,1,3,1,5,2,2,1, %U A124829 2,2,4,3,2,1,7,1,2,1,1,1,4,3,1,2,2,5,1,1,1,5,9,2,3,1,6,2,3,1,2,1,2,1,1,3,4 %N A124829 Table of exponents of prime factorizations in A055932. %C A124829 This is an enumeration of all compositions. This sequence contains all finite sequences of positive integers. %H A124829 Michael De Vlieger, <a href="/A124829/b124829.txt">Table of n, a(n) for n = 1..10382</a> (rows 1 <= n <= 2500). %F A124829 A055932(n) = Product_k Prime(k)^T(n,k). %e A124829 From _Michael De Vlieger_, Feb 06 2020: (Start) %e A124829 Table begins: %e A124829 n A055932(n+1) row n %e A124829 --------------------- %e A124829 1 2 1; %e A124829 2 4 2; %e A124829 3 6 1, 1; %e A124829 4 8 3; %e A124829 5 12 2, 1; %e A124829 6 16 4; %e A124829 7 18 1, 2; %e A124829 8 24 3, 1; %e A124829 9 30 1, 1, 1; %e A124829 10 32 5; %e A124829 11 36 2, 2; %e A124829 12 48 4, 1; %e A124829 13 54 1, 3; %e A124829 14 60 2, 1, 1; %e A124829 15 64 6; %e A124829 ... (End) %t A124829 Map[FactorInteger[#][[All, -1]] &, Select[Range[10^3], Last[#] == Length[#] &@ PrimePi@ FactorInteger[#][[All, 1]] &]] // Flatten (* _Michael De Vlieger_, Feb 06 2020 *) %Y A124829 Cf. A055932, A124830 (row lengths), A124831 (row sums), A124832, A066099. %K A124829 nonn,tabf %O A124829 1,2 %A A124829 _Franklin T. Adams-Watters_, Nov 09 2006