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 A343403 Numbers k such that the product of the digits of k is not the product of digits of any earlier term in the sequence. 2
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 25, 26, 27, 28, 29, 35, 37, 38, 39, 45, 47, 48, 49, 55, 56, 57, 58, 59, 67, 68, 69, 77, 78, 79, 88, 89, 99, 255, 256, 257, 258, 259, 267, 268, 269, 277, 278, 279, 288, 289, 299, 355, 357, 358, 359, 377, 378, 379, 388, 389, 399, 455 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Observations: The digits 0 and 1 appear only in terms 0 and 1, respectively. Terms cannot contain two 2s, two 3s, a 2 and a 3, a 2 and a 4, a 3 and a 4, or a 4 and a 6. Digits in each term appear in ascending order (A009994). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A343403 MAPLE # product of digits A007954 := proc(n::integer) if n = 0 then 0; else mul( d, d=convert(n, base, 10)) ; end if; end proc: hit:=Array(0..10000, -1); a:=[0]; hit[0]:=0; for n from 1 to 50000 do p:=A007954(n); if p>0 and hit[p]=-1 then hit[p]:=n; a:=[op(a), n]; fi; od: a; # N. J. A. Sloane, Apr 14 2021 PROG (Python 3.7) def getBaseTen(howMany=100): listToReturn = [] listOfObtainedValues = [] count = 0 while len(listToReturn) < howMany: afterOnePermutation = 1 for num in str(count): afterOnePermutation *= int(num) if afterOnePermutation is 0: break if not afterOnePermutation in listOfObtainedValues: listToReturn.append(str(count)) listOfObtainedValues.append(afterOnePermutation) count += 1 return listToReturn (PARI) See Links section. CROSSREFS Cf. A003001, A007954, A009994 (ascending digits), A031346, A068189, A343160. Sequence in context: A069716 A095289 A174141 * A095706 A280249 A096867 Adjacent sequences: A343400 A343401 A343402 * A343404 A343405 A343406 KEYWORD nonn,base AUTHOR Collin King, Apr 14 2021 STATUS approved

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Last modified July 18 21:02 EDT 2024. Contains 374388 sequences. (Running on oeis4.)