A146561 Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 3.

1034482758620689655172413793, 1379310344827586206896551724, 1724137931034482758620689655, 2068965517241379310344827586, 2413793103448275862068965517, 2758620689655172413793103448, 3103448275862068965517241379, 10344827586206896551724137931034482758620689655172413793

Offset: 1

Author

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

Keywords

• nonn
• base
• easy

Comments

For consistency with A146088 (analog for k=2), where an initial a(0) = 0 has been added, the same should be done here. - M. F. Hasler, May 03 2025

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..245
• Wikipedia, Parasitic number.

Crossrefs

Cf. A146088 (k=2), this sequence (k=3), A146569 (k=4), A146754 (k=5), A291354 (k=6), A291215 (k=7), A291321 (k=8), A291353 (k=9).

All these are subsequences of A034089.

Cf. A092697, A097717.

Formula

From Seiichi Manyama, Aug 22 2017: (Start)

a(7*k - 6) = 3*(10^(28*k) - 1)/29.

a(7*k - 5) = 4*(10^(28*k) - 1)/29.

a(7*k - 4) = 5*(10^(28*k) - 1)/29.

a(7*k - 3) = 6*(10^(28*k) - 1)/29.

a(7*k - 2) = 7*(10^(28*k) - 1)/29.

a(7*k - 1) = 8*(10^(28*k) - 1)/29.

a(7*k) = 9*(10^(28*k) - 1)/29. (End)

Extensions

More terms from Seiichi Manyama, Aug 22 2017