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Revision History for A097717

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A097717

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.
(history; published version)

#18 by R. J. Mathar at Mon Dec 19 05:42:23 EST 2016

STATUS

editing

approved

#17 by R. J. Mathar at Mon Dec 19 05:41:54 EST 2016

COMMENTS

Rotating the most-significant digit in other bases defines related sequences: 1, 2, 9, 4, 35, 558, 2205, 8, 135, ... (base 2); 1, 32, 3, 88, 260, ... (base 3); 1, 18, 279, 4, 68985, ... (base 4); 1, 16, 3348, 411184, 5, ... (base 5); etc. - R. J. Mathar, Mar 30 2009

CROSSREFS

Cf. A249596 - A249599 (bases 2 to 5).

STATUS

approved

editing

#16 by Michel Marcus at Sat Feb 14 00:26:49 EST 2015

STATUS

reviewed

approved

#15 by Wesley Ivan Hurt at Fri Feb 13 21:32:15 EST 2015

STATUS

proposed

reviewed

#14 by Jon E. Schoenfield at Fri Feb 13 19:41:38 EST 2015

STATUS

editing

proposed

#13 by Jon E. Schoenfield at Fri Feb 13 19:41:36 EST 2015

COMMENTS

Rotating the most-significant digit in other bases defines related sequences: 1, 2, 9, 4, 35, 558, 2205, 8, 135, ... (base 2), ; 1, 32, 3, 88, 260, ... (base 3), ; 1, 18, 279, 4, 68985, ... (base 4), ; 1, 16, 3348, 411184, 5, ... (base 5) ; etc. - _R. J. Mathar, _, Mar 30 2009

MATHEMATICA

Min[Table[Block[{d=Ceiling[Log[10, n]], m=(10n-1)/GCD[10n-1, a]}, If[m!=1, While[PowerMod[10, d, m]!=n, d++ ], d=1]; ((10^(d+1)-1) a n)/(10n-1)], {a, 9}]] - (* Anton V. Chupin (chupin(X)icmm.ru), Apr 12, 2007 *)

EXTENSIONS

a(9) from Anton V. Chupin (chupin(X)icmm.ru), Apr 12, 2007

STATUS

approved

editing

#12 by R. J. Mathar at Tue Nov 11 13:20:08 EST 2014

STATUS

editing

approved

#11 by R. J. Mathar at Tue Nov 11 13:19:20 EST 2014

COMMENTS

Rotating the most-significant digit in other bases defines related sequences: 1,2,9,4,35,558,2205,8,135,.. (base 2), 1,32,3,88,260,... (base 3), 1,18,279,4,68985,.. (base 4), 1,16,3348,411184,5,... (base 5) etc. - R. J. Mathar, Mar 30 2009

STATUS

approved

editing

#10 by Russ Cox at Sat Mar 31 10:26:03 EDT 2012

AUTHOR

_Lekraj Beedassy (blekraj(AT)yahoo.com), _, Sep 21 2004

Discussion

Sat Mar 31

10:26

OEIS Server: https://oeis.org/edit/global/489

#9 by Russ Cox at Fri Mar 30 17:29:19 EDT 2012

EXTENSIONS

Code and b-file corrected by _Ray Chandler (rayjchandler(AT)sbcglobal.net), _, Apr 29 2009

Discussion

Fri Mar 30

17:29

OEIS Server: https://oeis.org/edit/global/154