A094676 - OEIS

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.

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

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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