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A029530
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Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 13 (most significant digit on right).
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1
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1, 3, 9, 24, 48, 80, 96, 184, 549, 1083, 1392, 1624, 5085, 15968, 16000, 17763, 144843, 156200, 695808, 854904, 1001808, 1960016, 2002776, 2961952
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OFFSET
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1,2
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COMMENTS
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This sequence differs from A061966 in that all least significant zeros are removed before concatenation.
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LINKS
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EXAMPLE
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MATHEMATICA
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b = 13; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[IntegerReverse[#, b], b], c], b], #] &] (* Robert Price, Mar 13 2020 *)
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PROG
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(PARI) lista(nn, m=13) = 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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CROSSREFS
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KEYWORD
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nonn,base,more
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AUTHOR
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EXTENSIONS
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Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002
Additional comments and more terms from Larry Reeves (larryr(AT)acm.org), May 25 2001
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STATUS
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approved
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