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

19, 80, 91, 108, 119, 129, 139, 149, 159, 169, 179, 180, 189, 191, 192, 193, 194, 195, 196, 197, 198, 199, 208, 219, 280, 291, 308, 319, 380, 391, 408, 419, 480, 491, 508, 519, 580, 591, 608, 619, 680, 691, 708, 719, 780, 791, 800, 801, 802, 803, 804, 805, 806, 807, 808, 810

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..56.

Mathematica

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

Prog

(Python)
def ok(n): return max(d:=list(map(int, str(n))))-min(d) == 8
print([k for k in range(900) if ok(k)]) # Michael S. Branicky, Oct 30 2023
(PARI) isok(n) = my(d=digits(n)); vecmax(d) - vecmin(d) == 8; \\ 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), A366963 (difference = 6), A366964 (difference = 7), A366966 (difference = 9).

Sequence in context: A127270 A053665 A050522 * A172973 A212056 A290224

Adjacent sequences: A366962 A366963 A366964 * A366966 A366967 A366968

Keyword

nonn,base,easy

Author

Stefano Spezia, Oct 30 2023

Status

approved