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 A325265 #4 Apr 18 2019 16:54:50
%S A325265 6,10,12,14,15,16,18,20,21,22,24,26,28,30,32,33,34,35,36,38,39,40,42,
%T A325265 44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72,74,
%U A325265 75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96
%N A325265 Numbers with sum of omega-sequence > 4.
%C A325265 We define the omega-sequence of n (row n of A323023) to have length A323014(n) = adjusted frequency depth of n, and the k-th term is Omega(red^{k-1}(n)), where Omega = A001222 and red^{k} is the k-th functional iteration of red = A181819, defined by red(n = p^i*...*q^j) = prime(i)*...*prime(j) = product of primes indexed by the prime exponents of n. For example, we have 180 -> 18 -> 6 -> 4 -> 3, so the omega-sequence of 180 is (5,3,2,2,1).
%e A325265 The sequence of terms together with their omega-sequences begins:
%e A325265 6: 2 2 1 46: 2 2 1 80: 5 2 2 1 112: 5 2 2 1
%e A325265 10: 2 2 1 48: 5 2 2 1 81: 4 1 114: 3 3 1
%e A325265 12: 3 2 2 1 50: 3 2 2 1 82: 2 2 1 115: 2 2 1
%e A325265 14: 2 2 1 51: 2 2 1 84: 4 3 2 2 1 116: 3 2 2 1
%e A325265 15: 2 2 1 52: 3 2 2 1 85: 2 2 1 117: 3 2 2 1
%e A325265 16: 4 1 54: 4 2 2 1 86: 2 2 1 118: 2 2 1
%e A325265 18: 3 2 2 1 55: 2 2 1 87: 2 2 1 119: 2 2 1
%e A325265 20: 3 2 2 1 56: 4 2 2 1 88: 4 2 2 1 120: 5 3 2 2 1
%e A325265 21: 2 2 1 57: 2 2 1 90: 4 3 2 2 1 122: 2 2 1
%e A325265 22: 2 2 1 58: 2 2 1 91: 2 2 1 123: 2 2 1
%e A325265 24: 4 2 2 1 60: 4 3 2 2 1 92: 3 2 2 1 124: 3 2 2 1
%e A325265 26: 2 2 1 62: 2 2 1 93: 2 2 1 126: 4 3 2 2 1
%e A325265 28: 3 2 2 1 63: 3 2 2 1 94: 2 2 1 128: 7 1
%e A325265 30: 3 3 1 64: 6 1 95: 2 2 1 129: 2 2 1
%e A325265 32: 5 1 65: 2 2 1 96: 6 2 2 1 130: 3 3 1
%e A325265 33: 2 2 1 66: 3 3 1 98: 3 2 2 1 132: 4 3 2 2 1
%e A325265 34: 2 2 1 68: 3 2 2 1 99: 3 2 2 1 133: 2 2 1
%e A325265 35: 2 2 1 69: 2 2 1 100: 4 2 1 134: 2 2 1
%e A325265 36: 4 2 1 70: 3 3 1 102: 3 3 1 135: 4 2 2 1
%e A325265 38: 2 2 1 72: 5 2 2 1 104: 4 2 2 1 136: 4 2 2 1
%e A325265 39: 2 2 1 74: 2 2 1 105: 3 3 1 138: 3 3 1
%e A325265 40: 4 2 2 1 75: 3 2 2 1 106: 2 2 1 140: 4 3 2 2 1
%e A325265 42: 3 3 1 76: 3 2 2 1 108: 5 2 2 1 141: 2 2 1
%e A325265 44: 3 2 2 1 77: 2 2 1 110: 3 3 1 142: 2 2 1
%e A325265 45: 3 2 2 1 78: 3 3 1 111: 2 2 1 143: 2 2 1
%t A325265 omseq[n_Integer]:=If[n<=1,{},Total/@NestWhileList[Sort[Length/@Split[#]]&,Sort[Last/@FactorInteger[n]],Total[#]>1&]];
%t A325265 Select[Range[100],Total[omseq[#]]>4&]
%Y A325265 Positions of terms > 4 in A325249.
%Y A325265 Numbers with omega-sequence summing to m: A000040 (m = 1), A001248 (m = 3), A030078 (m = 4), A068993 (m = 5), A050997 (m = 6), A325264 (m = 7).
%Y A325265 Cf. A056239, A060687, A062770, A118914, A130091, A303555, A323023, A325238, A325277.
%Y A325265 Omega-sequence statistics: A001222 (first omega), A001221 (second omega), A071625 (third omega), A323022 (fourth omega), A304465 (second-to-last omega), A182850 or A323014 (length/frequency depth), A325248 (Heinz number), A325249 (sum).
%K A325265 nonn
%O A325265 1,1
%A A325265 _Gus Wiseman_, Apr 18 2019