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A146754 Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 5. 7
142857, 142857142857, 142857142857142857, 142857142857142857142857, 142857142857142857142857142857, 142857142857142857142857142857142857, 102040816326530612244897959183673469387755, 122448979591836734693877551020408163265306, 142857142857142857142857142857142857142857 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

From Seiichi Manyama, Aug 22 2017: (Start)

For k >= 1, (10^(6*k) - 1)/7 is a term.

For 5 <= a <= 9 and k >= 1, a*(10^(42*k) - 1)/49 is a term. (End)

LINKS

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

Wikipedia, Parasitic number.

EXAMPLE

From Seiichi Manyama, Aug 22 2017: (Start)

b1 = 14285.

a(1) = b1*10 + 7,

5*a(1) = 714285 = 7*10^5 + b1.

b7 = 10204081632653061224489795918367346938775.

a(7) = b7*10 + 5,

5*a(7) = 510204081632653061224489795918367346938775 = 5*10^41 + b7. (End)

CROSSREFS

Cf. A146088 (k=2), A146561 (k=3), A146569 (k=4), this sequence (k=5), A291215 (k=7).

Cf. A092697, A097717.

Sequence in context: A306265 A144504 A344436 * A180340 A004042 A145742

Adjacent sequences:  A146751 A146752 A146753 * A146755 A146756 A146757

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, based on correspondence from William A. Hoffman III (whoff(AT)robill.com), Apr 10 2009

STATUS

approved

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Last modified October 26 08:00 EDT 2021. Contains 348267 sequences. (Running on oeis4.)