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A003634 Smallest positive number that is n times sum of its digits, or 0 if no such number exists.
(Formerly M5054)
12
1, 18, 27, 12, 45, 54, 21, 72, 81, 10, 198, 108, 117, 126, 135, 144, 153, 162, 114, 180, 378, 132, 207, 216, 150, 234, 243, 112, 261, 270, 372, 576, 594, 102, 315, 324, 111, 342, 351, 120, 738, 756, 516, 792, 405, 230, 423, 432, 441, 450, 918, 312, 954, 972 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = 0 for n=62, 63, 65, ... (A003635).

REFERENCES

J. H. Conway, personal communication.

Anthony Gardiner, Mathematical Puzzling, Dover Publications, Inc., Mineola, NY, 1987, Page 11.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3) = 27 because no number less than 27 has sum of its digits equal to 3 times the number.

MATHEMATICA

Do[k = n; While[Apply[Plus, RealDigits[k][[1]]]*n != k, k += n]; Print[k], {n, 1, 61}]

With[{ll=Select[Table[{n, n/Total[IntegerDigits[n]]}, {n, 1000}], IntegerQ[ #[[2]]]&]}, Table[Select[ll, #[[2]]==i&, 1][[1, 1]], {i, 60}]] (* Harvey P. Dale, Mar 09 2012 *)

CROSSREFS

Cf. A005349.

Sequence in context: A093018 A284493 A167336 * A220100 A080910 A036763

Adjacent sequences:  A003631 A003632 A003633 * A003635 A003636 A003637

KEYWORD

nonn,base,easy,nice

AUTHOR

N. J. A. Sloane, Mira Bernstein

EXTENSIONS

Additional comments from Robert G. Wilson v, Aug 15 2000

STATUS

approved

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Last modified August 24 04:58 EDT 2017. Contains 291052 sequences.