On sets of integers with prescribed gaps. Baryshnikov, Y. & Stadje, W. Monatsh. Math., 116(2):83--98, 1993.
On sets of integers with prescribed gaps [link]Paper  doi  bibtex   
@article {MR1245856,
    AUTHOR = {Baryshnikov, Y. and Stadje, W.},
     TITLE = {On sets of integers with prescribed gaps},
   JOURNAL = {Monatsh. Math.},
  FJOURNAL = {Monatshefte f\"ur Mathematik},
    VOLUME = {116},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {83--98},
      ISSN = {0026-9255},
     CODEN = {MNMTA2},
   MRCLASS = {05A16 (60C05)},
  MRNUMBER = {1245856},
MRREVIEWER = {Peter Kirschenhofer},
       DOI = {10.1007/BF01404004},
       URL = {http://dx.doi.org/10.1007/BF01404004},
}

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