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 A052040 Numbers n such that n^2 lacks the digit zero in its decimal expansion. 18
 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 54, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 88, 89, 91, 92, 93, 94, 96 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is infinite, since 33...334^2 = 11...11155...556, for example. This answers an open problem stated in HAKMEM. - Karl W. Heuer, Aug 19 2015 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 Beeler, Michael; Gosper, R. William; and Schroeppel, Rich; "HAKMEM" Item 36, Memo 239, Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, Mass., 1972. MATHEMATICA Select[Range[0, 100], DigitCount[#^2, 10, 0]==0 &] (* Vincenzo Librandi, Feb 22 2015 *) PROG (PARI) is(n)=vecmin(digits(n^2))>0 \\ Charles R Greathouse IV, Oct 11 2013 (MAGMA) [n: n in [1..100] | not 0 in Intseq(n^2)]; // Vincenzo Librandi, Feb 22 2015 CROSSREFS Squares: A052041, A052042, A052043. Cubes: A051750, A051751, A051832, A051833. Sequence in context: A067251 A052382 A055572 * A328781 A069570 A279367 Adjacent sequences:  A052037 A052038 A052039 * A052041 A052042 A052043 KEYWORD nonn,base AUTHOR Patrick De Geest, Dec 15 1999 STATUS approved

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Last modified April 19 15:00 EDT 2021. Contains 343116 sequences. (Running on oeis4.)