(Translated by https://www.hiragana.jp/)
The On-Line Encyclopedia of Integer Sequences (OEIS)
login

Revision History for A083116

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Smallest multiple of n using a single digit with multiplicity, or 0 if no such number exists.
(history; published version)
#17 by Alois P. Heinz at Tue Jan 23 17:12:08 EST 2024
STATUS

proposed

approved

#16 by Chai Wah Wu at Tue Jan 23 17:08:15 EST 2024
STATUS

editing

proposed

#15 by Chai Wah Wu at Tue Jan 23 17:07:43 EST 2024
PROG

return m # Chai Wah Wu, Jan 23 2024

#14 by Chai Wah Wu at Tue Jan 23 17:06:33 EST 2024
PROG

(Python)

from itertools import count

def A083116(n):

if not (n%10 and n%16 and n%25): return 0

for l in count(1):

k = (10**l-1)//9

for a in range(1, 10):

if not (m:=a*k)%n:

return m # Chai Wah Wu, Jan 23 2024

STATUS

approved

editing

#13 by Alois P. Heinz at Sun May 25 10:17:45 EDT 2014
STATUS

proposed

approved

#12 by Jon E. Schoenfield at Sun May 25 03:08:18 EDT 2014
STATUS

editing

proposed

#11 by Jon E. Schoenfield at Sun May 25 03:08:16 EDT 2014
COMMENTS

1. If p is a prime > 5 then there exists a d such that a(p) = concatenation of '1' d times where p = k*d + 1 for some k. a(p)= (10^d -1)/9 < ={10^(p-1)- 1}/9. 2. a(n) = 0 if n = 10k, 16k or 25k.

2. a(n) = 0 if n = 10k, 16k or 25k.

REFERENCES

Amarnath Murthy, " On the divisors of the Smarandache Unary sequence," Smarandache Notions Journal, Volume 11, 1-2-3, Spring 2000.

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthymenakan_s(AT)yahoo.com), Apr 23 2003

STATUS

approved

editing

#10 by N. J. A. Sloane at Thu Dec 05 20:07:59 EST 2013
AUTHOR

_Amarnath Murthy _ and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Apr 23 2003

Discussion
Thu Dec 05
20:07
OEIS Server: https://oeis.org/edit/global/2078
#9 by T. D. Noe at Wed Jun 13 11:52:34 EDT 2012
STATUS

editing

approved

#8 by T. D. Noe at Wed Jun 13 11:52:30 EDT 2012
DATA

1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 444, 111111, 222222, 555, 0, 1111111111111111, 666, 111111111111111111, 0, 777, 22, 1111111111111111111111, 888, 0, 222222, 999, 444444, 1111111111111111111111111111, 0, 111111111111111, 0, 33, 2222222222222222, 555555, 444444444

STATUS

approved

editing