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A034837
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Numbers that are divisible by first digit.
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18
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 40, 44, 48, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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A 10-automatic sequence. - Charles R Greathouse IV, Jun 13 2017
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Index entries for 10-automatic sequences.
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FORMULA
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a(n) mod A000030(a(n)) = 0. - Reinhard Zumkeller, Sep 20 2003
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MATHEMATICA
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Select[Range[150], Divisible[#, IntegerDigits[#][[1]]]&] (* Harvey P. Dale, Jul 11 2017 *)
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PROG
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(Haskell)
import Data.Char (digitToInt)
a034837 n = a034837_list !! (n-1)
a034837_list = filter (\i -> i `mod` (a000030 i) == 0) [1..]
-- Reinhard Zumkeller, Jun 19 2011
(PARI) for(n=1, 1000, n%(Vecsmall(Str(n))[1]-48) || print1(n", ")) \\ M. F. Hasler, Jun 19 2011
(PARI) a(n)=for(k=1, 1e9, k%(Vecsmall(Str(k))[1]-48) || n-- || return(k)) \\ M. F. Hasler, Jun 19 2011
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CROSSREFS
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Cf. A034709 (divisible by last digit).
Sequence in context: A324720 A247756 A032520 * A096105 A178157 A246083
Adjacent sequences: A034834 A034835 A034836 * A034838 A034839 A034840
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KEYWORD
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nonn,base,nice,look,easy
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AUTHOR
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Erich Friedman
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STATUS
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approved
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