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 A243102 Numbers n such that the digits of (n + product of digits of n) are a nontrivial permutation of the digits of n. 2
 239, 326, 364, 497, 563, 598, 613, 637, 695, 819, 1239, 1326, 1364, 1497, 1563, 1598, 1613, 1637, 1695, 1819, 2139, 2313, 2356, 2369, 2419, 2594, 2639, 2791, 3126, 3213, 3235, 3238, 3259, 3354, 3365, 3561, 4219, 4346, 4353, 4395, 4559, 4569, 4592, 4595, 4719, 4953, 4967, 5129, 5233 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The product of digits must be divisible by 9, but is not 0. - Robert Israel, Aug 24 2014 LINKS Jens Kruse Andersen, Table of n, a(n) for n = 1..10000 EXAMPLE 239 + 2*3*9 = 293 is a permutation of the digits of 239. Thus 239 is a member of this sequence. MAPLE filter:= proc(n) local L, m; L:= convert(n, base, 10); m:= convert(L, `*`); if m=0 then return false fi; sort(L) = sort(convert(n+m, base, 10)); end proc: select(filter, [\$1..1000]); # Robert Israel, Aug 24 2014 PROG (PARI) for(n=1, 10^5, d=digits(n); p=prod(i=1, #d, d[i]); v=digits(n+p); if(v!=d, v=vecsort(v); d=vecsort(d); if(v==d, print1(n, ", ")))) (Python) from operator import mul from functools import reduce A243102 = [int(n) for n in (str(x) for x in range(1, 10**5)) if not n.count('0') and sorted(str(int(n)+reduce(mul, (int(d) for d in n)))) == sorted(n)] # Chai Wah Wu, Aug 26 2014 CROSSREFS Cf. A007954. Sequence in context: A140032 A289109 A247888 * A294092 A056086 A046012 Adjacent sequences:  A243099 A243100 A243101 * A243103 A243104 A243105 KEYWORD nonn,base AUTHOR Derek Orr, Aug 19 2014 EXTENSIONS Definition edited by Robert Israel, Aug 24 2014 STATUS approved

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Last modified October 17 09:42 EDT 2018. Contains 316276 sequences. (Running on oeis4.)