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A246421 Numbers n such that (n + digit sum of n) and (n + digit product of n) are nontrivial permutations of the digits of n. 0
5769, 14346, 27369, 41346, 52569, 56925, 94725, 122346, 126135, 129213, 143658, 152469, 154269, 155169, 157914, 162135, 192213, 212346, 216135, 219213, 221346, 236124, 238959, 245925, 261135, 263124, 291213, 326124, 328536, 344925, 361647, 362124, 367425, 368892, 392436, 413658 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All the digit sums and the digit products are multiples of 9.

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

5769 + (5+7+6+9) = 5796 and 5769 + (5*7*6*9) = 7659. Thus 5769 is a member of this sequence.

PROG

(PARI)

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, ", ")))

(Python)

from operator import mul

from functools import reduce

A246421_list = []

for n in range(1, 10**6):

....s = str(n)

....if not s.count('0'):

........s2 = sorted(s)

........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)))):

............A246421_list.append(n) # Chai Wah Wu, Sep 07 2014

CROSSREFS

Cf. A007954, A007953, A243102, A246420.

Sequence in context: A055354 A053862 A235393 * A317049 A096399 A071132

Adjacent sequences:  A246418 A246419 A246420 * A246422 A246423 A246424

KEYWORD

nonn,base

AUTHOR

Derek Orr, Aug 25 2014

STATUS

approved

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Last modified May 21 15:06 EDT 2019. Contains 323443 sequences. (Running on oeis4.)