A058905 - OEIS

A058905

Inconsummate numbers in base 9: no number is this multiple of the sum of its digits (in base 9).

46, 47, 48, 56, 58, 66, 76, 86, 136, 138, 167, 176, 222, 227, 228, 248, 258, 298, 302, 308, 312, 316, 318, 338, 343, 344, 347, 348, 352, 354, 356, 358, 362, 374, 383, 384, 392, 398, 402, 403, 404, 406, 407, 408, 411, 412, 414, 416, 422, 423

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..50.

MAPLE

For Maple code see A058906.

PROG

(Python)

from itertools import count, islice, combinations_with_replacement

from sympy.ntheory import digits

def A058905_gen(startvalue=1): # generator of terms >= startvalue

for n in count(max(startvalue, 1)):

for l in count(1):

if l*n<<3 < 9**(l-1):

yield n

break

for d in combinations_with_replacement(range(9), l):

if (s:=sum(d)) > 0 and sorted(digits(s*n, 9)[1:]) == list(d):

break

else:

continue

break

A058905_list = list(islice(A058905_gen(), 20)) # Chai Wah Wu, May 10 2023

CROSSREFS

Cf. A003635, A052491, A058898-A058907.

Sequence in context: A258915 A342479 A165867 * A345492 A320704 A282465

Adjacent sequences: A058902 A058903 A058904 * A058906 A058907 A058908

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Jan 09 2001

STATUS

approved