%I #21 Aug 26 2017 04:23:44
%S 1012658227848,1139240506329,10126582278481012658227848,
%T 11392405063291139240506329,101265822784810126582278481012658227848,
%U 113924050632911392405063291139240506329,1012658227848101265822784810126582278481012658227848
%N Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 8.
%C x = (10^12 - 8)/79 = 12658227848.
%C a(1) = 8*x*10 + 8, a(2) = 9*x*10 + 9.
%H Seiichi Manyama, <a href="/A291321/b291321.txt">Table of n, a(n) for n = 1..152</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Parasitic_number">Parasitic number</a>.
%F a(2*k - 1) = 8*(10^(13*k) - 1)/79.
%F a(2*k) = 9*(10^(13*k) - 1)/79.
%e b = 101265822784.
%e a(1) = b*10 + 8,
%e 8*a(1) = 8101265822784 = 8*10^12 + b.
%o (PARI) a(n)=10^((n+1)\2*13)\79*(9-n%2) \\ _Charles R Greathouse IV_, Aug 23 2017
%Y Cf. A146088 (k=2), A146561 (k=3), A146569 (k=4), A146754 (k=5), A291354 (k=6), A291215 (k=7), this sequence (k=8), A291353 (k=9).
%Y Cf. A092697, A097717.
%K nonn,base,easy
%O 1,1
%A _Seiichi Manyama_, Aug 22 2017
|