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Revision History for A094676

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Showing entries 1-10 | older changes

A094676

a(n) = least number m such that the quotient m/n is obtained merely by shifting the leftmost digit of m to the right end and the second digit of m is not zero.
(history; published version)

#28 by N. J. A. Sloane at Mon Oct 24 00:06:00 EDT 2022

STATUS

proposed

approved

#27 by Jon E. Schoenfield at Mon Oct 03 07:32:43 EDT 2022

STATUS

editing

proposed

#26 by Jon E. Schoenfield at Mon Oct 03 07:32:40 EDT 2022

COMMENTS

Least n-transposable number. A k-transposable number, 1 <= k <= 9, is one which is k times the number obtained when the leftmost digit is moved to the end.

REFERENCES

H. Camous, Jouer Avec Les Maths, "Chassez le naturel", Section I, Problem 3 pp. 20; 31-2, Les Editions D'Organisation, Paris 1984.

L. A. Graham, Ingenious Mathematical Problems and Methods, "End At The Beginning", Problem 72 pp. 44; 212-3 , Dover NY 1959.

FORMULA

a(n) = n prepended to n*(10^m - n)/(10*n - 1), where m = A094224(n) - 1.

STATUS

proposed

editing

#25 by Joerg Arndt at Sun Oct 02 04:04:19 EDT 2022

STATUS

editing

proposed

#24 by Joerg Arndt at Sun Oct 02 04:03:09 EDT 2022

EXTENSIONS

a(5) corrected by Emilio Martín, Jul 28 2022

#23 by Michel Marcus at Sat Oct 01 06:45:09 EDT 2022

STATUS

proposed

editing

#22 by Emilio Martín at Sat Oct 01 06:21:21 EDT 2022

STATUS

editing

proposed

Discussion

Sat Oct 01

06:45

Michel Marcus: Emilio, this message "please add an extension like this: a(5) corrected by (and systme will add your name and date)" was for you; it is much easier to do than calculating a(5) ....

#21 by Michel Marcus at Wed Aug 03 11:58:47 EDT 2022

EXAMPLE

a(4) = 410256 = 4*102564.

KEYWORD

fini,nonn,base,fini,full,changed

STATUS

proposed

editing

Discussion

Fri Aug 05

22:10

Jon E. Schoenfield: The formula given in the Formula section does not give the right result at n=5.

Sat Oct 01

06:07

OEIS Server: This sequence has not been edited or commented on for a week
yet is not proposed for review.  If it is ready for review, please
visit https://oeis.org/draft/A094676 and click the button that reads
"These changes are ready for review by an OEIS Editor."

Thanks.
  - The OEIS Server

#20 by Emilio Martín at Wed Aug 03 11:55:46 EDT 2022

STATUS

editing

proposed

Discussion

Wed Aug 03

11:58

Michel Marcus: please add an extension like this: a(5) corrected by    (and systme will add your name and date)

#19 by Emilio Martín at Thu Jul 28 11:55:35 EDT 2022

DATA

1, 210526315789473684, 3103448275862068965517241379, 410256, 510204081632653061224489795918367346938775, 714285, 6101694915254237288135593220338983050847457627118644067796, 7101449275362318840579, 8101265822784, 91011235955056179775280898876404494382022471

STATUS

approved

editing

Discussion

Sun Jul 31

13:32

Jon E. Schoenfield: @Emilio -- Thanks for correcting a(5)! I've written a program that computes the terms of this sequence, and (with your correction) its output agrees with the Data.

13:35

Jon E. Schoenfield: (I see some changes I'd like to make to some of the other sections, but I'll wait until you've put this draft into Proposed status by clicking the the button labeled "These changes are ready for review by an OEIS Editor.")