A246421 Numbers n such that (n + digit sum of n) and (n + digit product of n) are nontrivial permutations of the digits of n.

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

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 A329525 A331202

Adjacent sequences: A246418 A246419 A246420 * A246422 A246423 A246424

Keyword

nonn,base

Author

Derek Orr, Aug 25 2014

Status

approved