login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A274328 a(n) is the sum of a sequence of multiples of the n-th prime such that it contains each of the digits from 0 to 9 exactly once and with the least sum possible, or 0 if there is no satisfying sequence. 4
270, 135, 38475, 252, 1881, 702, 918, 684, 1656, 2349, 1953, 7326, 2952, 2322, 2961, 3339, 3717, 3843, 3015, 3195, 3285, 5688, 8217, 5607, 4365, 95445, 6489, 4815, 3924, 37629, 35433, 10611, 9864, 5004, 41571, 4077, 39564, 2934, 34569, 42039 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

From Ryan Hitchman, Sep 15 2017: (Start)

a(172) = 1023847569, prime(172) = 1021 is the first entry with one multiple.

a(1884) = 145953, prime(1884) = 16217 is last with more than one multiple.

a(10545) = 0, prime(10545) = 111119 is the first zero. (End)

LINKS

Ryan Hitchman, Table of n, a(n) for n = 1..10544

Claudio Meller Blog, Multiples with all the digits, June 13 2016.

EXAMPLE

For n = 7, a(7) = 918 because prime(7) = 17, sequence 34, 85, 102, 697, sum 918.

MATHEMATICA

(m = Select[#*Range[10000], Max[DigitCount[#]] == 1 &];

   Total[m*LinearProgramming[m, Thread[DigitCount /@ m],

      ConstantArray[{1, 0}, 10], 0, Integers]]) & /@ Prime[Range[40]] (* Ryan Hitchman, Sep 15 2017 *)

CROSSREFS

Cf. A180489 for n>1884. Superset of A050288. - Ryan Hitchman, Sep 15 2017

Sequence in context: A166807 A131264 A053322 * A025393 A291790 A025394

Adjacent sequences:  A274325 A274326 A274327 * A274329 A274330 A274331

KEYWORD

nonn,base

AUTHOR

Claudio Meller, Jun 21 2016

EXTENSIONS

Terms a(9) and beyond, zero case from Ryan Hitchman, Sep 15 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 10:59 EST 2019. Contains 329225 sequences. (Running on oeis4.)