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Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 6.
4

%I #16 Aug 19 2019 12:23:11

%S 1016949152542372881355932203389830508474576271186440677966,

%T 1186440677966101694915254237288135593220338983050847457627,

%U 1355932203389830508474576271186440677966101694915254237288

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

%H Seiichi Manyama, <a href="/A291354/b291354.txt">Table of n, a(n) for n = 1..68</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Parasitic_number">Parasitic number</a>.

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

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

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

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

%Y 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).

%Y Cf. A092697, A097717.

%K nonn,base,easy

%O 1,1

%A _Seiichi Manyama_, Aug 23 2017