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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

Table of n, a(n) for n=1..51.

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 * A302173 A024663 A272360

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 November 20 23:06 EST 2019. Contains 329348 sequences. (Running on oeis4.)