A291354 Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 6.

1016949152542372881355932203389830508474576271186440677966, 1186440677966101694915254237288135593220338983050847457627, 1355932203389830508474576271186440677966101694915254237288

Offset: 1

Author

Seiichi Manyama, Aug 23 2017

Keywords

• nonn
• base
• easy

Comments

For consistency with A146088 (similar for ratio k=2) and others, where an initial a(0) = 0 has been added, the same could be considered here. It would be compatible with the formula given for a(4k). - M. F. Hasler, May 03 2025

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..68
• Wikipedia, Parasitic number.

Crossrefs

Cf. A146088 (k=2), A146561 (k=3), A146569 (k=4), A146754 (k=5), this sequence (k=6), A291215 (k=7), A291321 (k=8), A291353 (k=9).

All these are subsequences of A034089 (except for an initial 0 in some of them).

Cf. A092697, A097717.

Formula

a(4*k - 3) = 6*(10^(58*k) - 1)/59.

a(4*k - 2) = 7*(10^(58*k) - 1)/59.

a(4*k - 1) = 8*(10^(58*k) - 1)/59.

a(4*k) = 9*(10^(58*k) - 1)/59.