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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. 7
1, 210526315789473684, 3103448275862068965517241379, 410256, 510204081632653061224489795918367346938775, 6101694915254237288135593220338983050847457627118644067796, 7101449275362318840579, 8101265822784, 91011235955056179775280898876404494382022471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Here when the leftmost digit of m is shifted to the right end the number of digits may not decrease - compare A097717.

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.

LINKS

Table of n, a(n) for n=1..9.

FORMULA

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

EXAMPLE

a(4)=410256=4*102564

CROSSREFS

Cf. A097717. A249596-A249599.

Sequence in context: A308287 A295740 A270271 * A327760 A054213 A288288

Adjacent sequences:  A094673 A094674 A094675 * A094677 A094678 A094679

KEYWORD

fini,nonn,base,full

AUTHOR

Lekraj Beedassy, Jun 07 2004

EXTENSIONS

Edited by N. J. A. Sloane, Apr 13 2009

STATUS

approved

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Last modified November 22 18:55 EST 2019. Contains 329410 sequences. (Running on oeis4.)