The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A058905 Inconsummate numbers in base 9: no number is this multiple of the sum of its digits (in base 9). 1
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
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
Sequence in context: A258915 A342479 A165867 * A345492 A320704 A282465
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Jan 09 2001
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 17 20:03 EDT 2024. Contains 373464 sequences. (Running on oeis4.)