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| A029527
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Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 10 (most significant digit on right).
(history;
published version)
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#23 by Susanna Cuyler at Mon Jul 26 01:46:37 EDT 2021
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#22 by Joerg Arndt at Mon Jul 26 01:21:08 EDT 2021
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#21 by Jon E. Schoenfield at Sun Jul 25 23:06:07 EDT 2021
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#20 by Jon E. Schoenfield at Sun Jul 25 23:06:06 EDT 2021
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| NAME
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Numbers nk such that nk divides the (left) concatenation of all numbers <= nk written in base 10 (most significant digit on right).
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| STATUS
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approved
editing
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#19 by N. J. A. Sloane at Sat Dec 05 23:36:33 EST 2020
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#18 by Jinyuan Wang at Sat Dec 05 22:25:29 EST 2020
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#17 by Jinyuan Wang at Sat Dec 05 22:25:12 EST 2020
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| COMMENTS
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No more terms < 10^7. [. - _Lars Blomberg, _, Sep 12 2011]
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| PROG
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(PARI) lista(nn, m=10) = my(c, s, t); for(k=1, nn, t+=m^c*s=fromdigits(Vecrev(digits(k, m)), m); c+=logint(s, m)+1; if(t%k==0, print1(k, ", "))); \\ Jinyuan Wang, Dec 05 2020
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| STATUS
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approved
editing
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#16 by Susanna Cuyler at Fri Mar 13 16:44:57 EDT 2020
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#15 by Robert Price at Fri Mar 13 16:16:58 EDT 2020
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#14 by Robert Price at Fri Mar 13 16:16:55 EDT 2020
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| MATHEMATICA
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b = 10; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[IntegerReverse[#, b], b], c], b], #] &] (* Robert Price, Mar 13 2020 *)
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| KEYWORD
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nonn,base,more
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| STATUS
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approved
editing
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