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%I #9 Sep 08 2014 00:36:18
%S 5769,14346,27369,41346,52569,56925,94725,122346,126135,129213,143658,
%T 152469,154269,155169,157914,162135,192213,212346,216135,219213,
%U 221346,236124,238959,245925,261135,263124,291213,326124,328536,344925,361647,362124,367425,368892,392436,413658
%N Numbers n such that (n + digit sum of n) and (n + digit product of n) are nontrivial permutations of the digits of n.
%C All the digit sums and the digit products are multiples of 9.
%e 5769 + (5+7+6+9) = 5796 and 5769 + (5*7*6*9) = 7659. Thus 5769 is a member of this sequence.
%o (PARI)
%o for(n=1,10^7,d=digits(n);p=prod(i=1,#d,d[i]);if(p&&vecsort(d)==vecsort(digits(n+p))&&vecsort(d)==vecsort(digits(n+sumdigits(n))),print1(n,", ")))
%o (Python)
%o from operator import mul
%o from functools import reduce
%o A246421_list = []
%o for n in range(1,10**6):
%o ....s = str(n)
%o ....if not s.count('0'):
%o ........s2 = sorted(s)
%o ........if s2 == sorted(str(n+sum(int(d) for d in s))) and s2 == sorted(str(n+reduce(mul, (int(d) for d in s)))):
%o ............A246421_list.append(n) # _Chai Wah Wu_, Sep 07 2014
%Y Cf. A007954, A007953, A243102, A246420.
%K nonn,base
%O 1,1
%A _Derek Orr_, Aug 25 2014
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