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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A291321 Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 8.

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%I A291321 #24 May 06 2025 11:00:13
%S A291321 1012658227848,1139240506329,10126582278481012658227848,
%T A291321 11392405063291139240506329,101265822784810126582278481012658227848,
%U A291321 113924050632911392405063291139240506329,1012658227848101265822784810126582278481012658227848
%N A291321 Numbers m with the property that shifting the rightmost digit of m to the left end multiplies the number by 8.
%C A291321 Let x = (10^12 - 8)/79 = 12658227848. Then a(1) = 8*x*10 + 8, a(2) = 9*x*10 + 9.
%C A291321 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(2k). - _M. F. Hasler_, May 03 2025
%H A291321 Seiichi Manyama, <a href="/A291321/b291321.txt">Table of n, a(n) for n = 1..152</a>
%H A291321 Wikipedia, <a href="https://en.wikipedia.org/wiki/Parasitic_number">Parasitic number</a>.
%F A291321 a(2*k - 1) = 8*(10^(13*k) - 1)/79.
%F A291321 a(2*k)     = 9*(10^(13*k) - 1)/79.
%e A291321 a(1) = b*10 + 8 with b = 101265822784, and 8*a(1) = 8101265822784 = 8*10^12 + b.
%o A291321 (PARI) a(n)=10^((n+1)\2*13)\79*(9-n%2) \\ _Charles R Greathouse IV_, Aug 23 2017
%Y A291321 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 A291321 All these are subsequences of A034089 (except for an initial 0 in some of them).
%Y A291321 Cf. A092697, A097717.
%K A291321 nonn,base,easy
%O A291321 1,1
%A A291321 _Seiichi Manyama_, Aug 22 2017
%E A291321 Edited by _M. F. Hasler_, May 03 2025