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A366965 Numbers whose difference between the largest and smallest digits is equal to 8. 9

%I #14 Nov 10 2023 12:26:42

%S 19,80,91,108,119,129,139,149,159,169,179,180,189,191,192,193,194,195,

%T 196,197,198,199,208,219,280,291,308,319,380,391,408,419,480,491,508,

%U 519,580,591,608,619,680,691,708,719,780,791,800,801,802,803,804,805,806,807,808,810

%N Numbers whose difference between the largest and smallest digits is equal to 8.

%C The number of n-digit terms of this sequence is 17*9^(n-1) - 31*8^(n-1) + 2*7^n.

%t Select[Range[810],Max[d=IntegerDigits[#]]-Min[d]==8 &]

%o (Python)

%o def ok(n): return max(d:=list(map(int, str(n))))-min(d) == 8

%o print([k for k in range(900) if ok(k)]) # _Michael S. Branicky_, Oct 30 2023

%o (PARI) isok(n) = my(d=digits(n)); vecmax(d) - vecmin(d) == 8; \\ _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), A366962 (difference = 5), A366963 (difference = 6), A366964 (difference = 7), A366966 (difference = 9).

%K nonn,base,easy

%O 1,1

%A _Stefano Spezia_, Oct 30 2023

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Last modified May 18 23:43 EDT 2024. Contains 372666 sequences. (Running on oeis4.)