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 A325277 #7 Apr 16 2019 15:27:11 %S A325277 1,2,3,4,3,5,6,4,3,7,8,5,9,3,10,4,3,11,12,6,4,3,13,14,4,3,15,4,3,16,7, %T A325277 17,18,6,4,3,19,20,6,4,3,21,4,3,22,4,3,23,24,10,4,3,25,3,26,4,3,27,5, %U A325277 28,6,4,3,29,30,8,5,31,32,11,33,4,3 %N A325277 Irregular triangle read by rows where row 1 is {1} and row n is the sequence starting with n and repeatedly applying A181819 until a prime number is reached. %C A325277 The function A181819 maps p^i*...*q^j to prime(i)*...*prime(j) where p through q are distinct primes. %F A325277 T(n,k) = A325239(n,k) for k <= A323014(n). %F A325277 A001222(T(n,k)) = A323023(n,k) for n > 1. %e A325277 Triangle begins: %e A325277 1 26 4 3 51 4 3 76 6 4 3 %e A325277 2 27 5 52 6 4 3 77 4 3 %e A325277 3 28 6 4 3 53 78 8 5 %e A325277 4 3 29 54 10 4 3 79 %e A325277 5 30 8 5 55 4 3 80 14 4 3 %e A325277 6 4 3 31 56 10 4 3 81 7 %e A325277 7 32 11 57 4 3 82 4 3 %e A325277 8 5 33 4 3 58 4 3 83 %e A325277 9 3 34 4 3 59 84 12 6 4 3 %e A325277 10 4 3 35 4 3 60 12 6 4 3 85 4 3 %e A325277 11 36 9 3 61 86 4 3 %e A325277 12 6 4 3 37 62 4 3 87 4 3 %e A325277 13 38 4 3 63 6 4 3 88 10 4 3 %e A325277 14 4 3 39 4 3 64 13 89 %e A325277 15 4 3 40 10 4 3 65 4 3 90 12 6 4 3 %e A325277 16 7 41 66 8 5 91 4 3 %e A325277 17 42 8 5 67 92 6 4 3 %e A325277 18 6 4 3 43 68 6 4 3 93 4 3 %e A325277 19 44 6 4 3 69 4 3 94 4 3 %e A325277 20 6 4 3 45 6 4 3 70 8 5 95 4 3 %e A325277 21 4 3 46 4 3 71 96 22 4 3 %e A325277 22 4 3 47 72 15 4 3 97 %e A325277 23 48 14 4 3 73 98 6 4 3 %e A325277 24 10 4 3 49 3 74 4 3 99 6 4 3 %e A325277 25 3 50 6 4 3 75 6 4 3 100 9 3 %t A325277 red[n_]:=Times@@Prime/@Last/@If[n==1,{},FactorInteger[n]]; %t A325277 Table[NestWhileList[red,n,#>1&&!PrimeQ[#]&],{n,30}] %Y A325277 Row lengths are 1 for n = 1 and A323014(n) for n > 1. %Y A325277 Cf. A001221, A001222, A071625, A118914, A181819, A181821, A182850, A182857, A323022, A323023, A325238, A325239. %K A325277 nonn,tabf %O A325277 1,2 %A A325277 _Gus Wiseman_, Apr 15 2019