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 A325251 #8 Aug 22 2019 09:53:36
%S A325251 1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,28,29,
%T A325251 31,33,34,35,37,38,39,41,43,44,45,46,47,49,50,51,52,53,55,57,58,59,60,
%U A325251 61,62,63,65,67,68,69,71,73,74,75,76,77,79,82,83,84,85,86
%N A325251 Numbers whose omega-sequence covers an initial interval of positive integers.
%C A325251 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).
%C A325251 The enumeration of these partitions by sum is given by A325260.
%e A325251 The sequence of terms together with their omega sequences begins:
%e A325251 1: 31: 1 63: 3 2 2 1
%e A325251 2: 1 33: 2 2 1 65: 2 2 1
%e A325251 3: 1 34: 2 2 1 67: 1
%e A325251 4: 2 1 35: 2 2 1 68: 3 2 2 1
%e A325251 5: 1 37: 1 69: 2 2 1
%e A325251 6: 2 2 1 38: 2 2 1 71: 1
%e A325251 7: 1 39: 2 2 1 73: 1
%e A325251 9: 2 1 41: 1 74: 2 2 1
%e A325251 10: 2 2 1 43: 1 75: 3 2 2 1
%e A325251 11: 1 44: 3 2 2 1 76: 3 2 2 1
%e A325251 12: 3 2 2 1 45: 3 2 2 1 77: 2 2 1
%e A325251 13: 1 46: 2 2 1 79: 1
%e A325251 14: 2 2 1 47: 1 82: 2 2 1
%e A325251 15: 2 2 1 49: 2 1 83: 1
%e A325251 17: 1 50: 3 2 2 1 84: 4 3 2 2 1
%e A325251 18: 3 2 2 1 51: 2 2 1 85: 2 2 1
%e A325251 19: 1 52: 3 2 2 1 86: 2 2 1
%e A325251 20: 3 2 2 1 53: 1 87: 2 2 1
%e A325251 21: 2 2 1 55: 2 2 1 89: 1
%e A325251 22: 2 2 1 57: 2 2 1 90: 4 3 2 2 1
%e A325251 23: 1 58: 2 2 1 91: 2 2 1
%e A325251 25: 2 1 59: 1 92: 3 2 2 1
%e A325251 26: 2 2 1 60: 4 3 2 2 1 93: 2 2 1
%e A325251 28: 3 2 2 1 61: 1 94: 2 2 1
%e A325251 29: 1 62: 2 2 1 95: 2 2 1
%t A325251 normQ[m_]:=Or[m=={},Union[m]==Range[Max[m]]];
%t A325251 omseq[n_Integer]:=If[n<=1,{},Total/@NestWhileList[Sort[Length/@Split[#]]&,Sort[Last/@FactorInteger[n]],Total[#]>1&]];
%t A325251 Select[Range[100],normQ[omseq[#]]&]
%Y A325251 Positions of normal numbers (A055932) in A325248.
%Y A325251 Cf. A000430, A055932, A056239, A112798, A181819, A323023, A325247, A325260, A325261, A325277.
%Y A325251 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).
%K A325251 nonn
%O A325251 1,2
%A A325251 _Gus Wiseman_, Apr 16 2019