A366963 Numbers whose difference between the largest and smallest digits is equal to 6.

17, 28, 39, 60, 71, 82, 93, 106, 117, 127, 137, 147, 157, 160, 167, 171, 172, 173, 174, 175, 176, 177, 206, 217, 228, 238, 248, 258, 260, 268, 271, 278, 282, 283, 284, 285, 286, 287, 288, 306, 317, 328, 339, 349, 359, 360, 369, 371, 379, 382, 389, 393, 394, 395, 396, 397, 398, 399

Offset

1,1

Comments

The number of n-digit terms of this sequence is 27*7^(n-1) - 47*6^(n-1) + 4*5^n.

Links

Table of n, a(n) for n=1..58.

Mathematica

Select[Range[400], Max[d=IntegerDigits[#]]-Min[d]==6 &]

Prog

(Python)
def ok(n): return max(d:=list(map(int, str(n))))-min(d) == 6
print([k for k in range(400) if ok(k)]) # Michael S. Branicky, Oct 30 2023
(PARI) isok(n) = my(d=digits(n)); vecmax(d) - vecmin(d) == 6; \\ Michel Marcus, Nov 05 2023

Crossrefs

Cf. A037904.

Cf. A010785 (difference = 0), A366958 (difference = 1), A366959 (difference = 2), A366960 (difference = 3), A366961 (difference = 4), A366962 (difference = 5), A366964 (difference = 7), A366965 (difference = 8), A366966 (difference = 9).

Sequence in context: A269307 A364555 A134468 * A032611 A255200 A350101

Adjacent sequences: A366960 A366961 A366962 * A366964 A366965 A366966

Keyword

nonn,base,easy

Author

Stefano Spezia, Oct 30 2023

Status

approved