A292454 Numbers where 4 outnumbers any other digit.
4, 44, 144, 244, 344, 404, 414, 424, 434, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 454, 464, 474, 484, 494, 544, 644, 744, 844, 944, 1044, 1244, 1344, 1404, 1424, 1434, 1440, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1454, 1464, 1474, 1484, 1494
Offset: 1
Examples
404 has more 4's than any other digit, whereas 4004 has as many 0's as 4's.
Programs
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Mathematica
Select[Range[0, 2000], Max@ #1 < First@ #2 & @@ TakeDrop[RotateLeft[#, 4] &@ DigitCount@ #, 9] &] (* Michael De Vlieger, Sep 16 2017 *)
Extensions
More terms from Michael De Vlieger, Sep 16 2017