A353181 Numbers in which more than half of the digits are the same.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 101, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 131, 133, 141, 144, 151, 155, 161, 166, 171, 177, 181, 188, 191, 199, 200, 202, 211, 212, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 232

Offset: 1

Author

Zhining Yang, Apr 29 2022

Keywords

• nonn
• base
• easy

Comments

Same as A044959 for terms <= 1000, and then differing at A044959(272) = 1001 which is not a term here (the next instead a(272) = 1011).

Examples

			1211 is a term: it has 4 digits, 3 of which are 1's, and 3/4 > 1/2.
1212 is not a term: it has 4 digits, no one of which appears more than twice.
		

Links

• Zhining Yang, Table of n, a(n) for n = 1..30000

Crossrefs

Cf. A109303, A044959.

Programs

Mathematica

Select[Range[300], Max[DigitCount[#]] > IntegerLength[#]/2 &]

Python

def ok(k):
    t=str(k)
    return(max(t.count(str(i)) for i in range(10))>(len(t)//2))
print([n for n in range(1, 201) if ok(n)])