A378835 Numbers with the median of the digits equal to the digital root.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 99, 109, 118, 128, 138, 148, 158, 168, 178, 181, 182, 183, 184, 185, 186, 187, 188, 190, 209, 218, 227, 237, 247, 257, 267, 272, 273, 274, 275, 276, 277, 281, 290, 309, 318, 327, 336, 346, 356, 363, 364, 365, 366, 372, 381, 390, 409, 418, 427, 436, 445

Offset: 1

Author

Stefano Spezia, Dec 09 2024

Keywords

• nonn
• base
• easy

Examples

			10 is not in the list because the median of its digits is not integer.
11 is not in the list because the median of its digits is 1 which is not equal to 2, the digital root of 11.
109 is in the list because the median of its digits is 1 which is equal to the digital root of 109.
		

Links

• Stefano Spezia, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A010888, A378836.

Cf. A378560, A378564, A378837, A378838.

Programs

Mathematica

A010888[n_]:=If[n==0,0,n - 9*Floor[(n-1)/9]]; Select[Range[0,450], Median[IntegerDigits[#]]==A010888[#] &]