A383304 Nonnegative integers whose difference between the largest and smallest digits is equal to the arithmetic mean of its digits.

0, 13, 26, 31, 39, 62, 93, 123, 132, 144, 213, 225, 231, 246, 252, 264, 267, 276, 288, 312, 321, 348, 369, 384, 396, 414, 426, 438, 441, 462, 483, 522, 624, 627, 639, 642, 672, 693, 726, 762, 828, 834, 843, 882, 936, 963, 1133, 1223, 1232, 1313, 1322, 1331, 1344, 1434, 1443

Offset: 1

Author

Stefano Spezia, Apr 22 2025

Keywords

• nonn
• base
• easy

Examples

			144 is a term since 4 - 1 = 3 = (1 + 4 + 4)/3.
		

Crossrefs

Cf. A037904, A054054, A054055, A179239, A371383, A371384, A383305.

Subsequence of A061383.

Programs

Mathematica

Select[Range[0,1500], Max[d=IntegerDigits[#]]-Min[d]==Mean[d] &]

Python

def ok(n): return sum(d:=list(map(int, str(n)))) == (max(d) - min(d))*len(d)
print([k for k in range(1500) if ok(k)]) # Michael S. Branicky, Apr 23 2025