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Numbers whose difference between the largest and smallest digits is equal to 5.
9

%I #12 Nov 10 2023 12:28:09

%S 16,27,38,49,50,61,72,83,94,105,116,126,136,146,150,156,161,162,163,

%T 164,165,166,205,216,227,237,247,250,257,261,267,272,273,274,275,276,

%U 277,305,316,327,338,348,350,358,361,368,372,378,383,384,385,386,387,388

%N Numbers whose difference between the largest and smallest digits is equal to 5.

%C The number of n-digit terms of this sequence is 29*6^(n-1) - 49*5^(n-1) + 5*4^n.

%t Select[Range[400],Max[d=IntegerDigits[#]]-Min[d]==5 &]

%o (Python)

%o def ok(n): return max(d:=list(map(int, str(n))))-min(d) == 5

%o print([k for k in range(400) if ok(k)]) # _Michael S. Branicky_, Oct 30 2023

%o (PARI) isok(n) = my(d=digits(n)); vecmax(d) - vecmin(d) == 5; \\ _Michel Marcus_, Nov 05 2023

%Y Cf. A037904.

%Y Cf. A010785 (difference = 0), A366958 (difference = 1), A366959 (difference = 2), A366960 (difference = 3), A366961 (difference = 4), A366963 (difference = 6), A366964 (difference = 7), A366965 (difference = 8), A366966 (difference = 9).

%K nonn,base,easy

%O 1,1

%A _Stefano Spezia_, Oct 30 2023