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 A229184 Numbers decremented by their digit product produce a cube. 1
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 71, 145, 167, 264, 361, 757, 1000, 1439, 1791, 2233, 3525, 3627, 3959, 4096, 4864, 4995, 6677, 8000, 8128, 8672, 9575, 10648, 14848, 23488, 24976, 25199, 25829, 26549, 27000, 27224, 35648, 39304, 43235, 50653, 53893, 64000, 74088, 79507, 91215, 93285, 94365 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 4 is the only zeroless number < 10^7 that is a member of this sequence and A229185 (Numbers incremented by their digit product produce a cube). LINKS EXAMPLE 167 - 1*6*7 = 125 = 5^3. MATHEMATICA Select[Range[0, 100000], IntegerQ[(# - Times @@ IntegerDigits[#])^(1/3)] &] (* T. D. Noe, Sep 16 2013 *) PROG (Python) def DP(n): ..p = 1 ..for i in str(n): ....p *= int(i) ..return p for n in range(10**4): ..k = 0 ..P = n - DP(n) ..while P >= k**3: ....if P == k**3: ......print(n, end=', ') ......break ....k += 1 # Simplified by Derek Orr, Mar 12 2015 (PARI) for(n=0, 10^5, d=digits(n); P=n-prod(i=1, #d, d[i]); if(ispower(P, 3), print1(n, ", "))) \\ Derek Orr, Mar 12 2015 CROSSREFS Cf. A007954, A228187. Sequence in context: A302499 A024662 A153670 * A331203 A302173 A024663 Adjacent sequences:  A229181 A229182 A229183 * A229185 A229186 A229187 KEYWORD nonn,easy,base AUTHOR Derek Orr, Sep 15 2013 EXTENSIONS More terms and prepended a(1) = 0 from Derek Orr, Mar 12 2015 STATUS approved

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Last modified March 30 22:55 EDT 2020. Contains 333132 sequences. (Running on oeis4.)