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A366964 Numbers whose difference between the largest and smallest digits is equal to 7. 9

%I #12 Nov 10 2023 12:27:57

%S 18,29,70,81,92,107,118,128,138,148,158,168,170,178,181,182,183,184,

%T 185,186,187,188,207,218,229,239,249,259,269,270,279,281,289,292,293,

%U 294,295,296,297,298,299,307,318,329,370,381,392,407,418,429,470,481,492

%N Numbers whose difference between the largest and smallest digits is equal to 7.

%C The number of n-digit terms is 23*8^(n-1) - 41*7^(n-1) + 2^n*3^(n+1).

%t Select[Range[500],Max[d=IntegerDigits[#]]-Min[d]==7 &]

%o (Python)

%o def ok(n): return max(d:=list(map(int, str(n))))-min(d) == 7

%o print([k for k in range(500) if ok(k)]) # _Michael S. Branicky_, Oct 30 2023

%o (PARI) isok(n) = my(d=digits(n)); vecmax(d) - vecmin(d) == 7; \\ _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), A366965 (difference = 8), A366966 (difference = 9).

%K nonn,base,easy

%O 1,1

%A _Stefano Spezia_, Oct 30 2023

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Last modified September 7 02:32 EDT 2024. Contains 375728 sequences. (Running on oeis4.)