A246420 Numbers m such that (m + digit sum of m) is a permutation of the decimal digits of m.

0, 45, 234, 279, 423, 468, 612, 657, 801, 846, 1134, 1179, 1323, 1368, 1512, 1557, 1701, 1746, 1890, 1935, 2034, 2079, 2223, 2268, 2412, 2457, 2601, 2646, 2835, 3123, 3168, 3312, 3357, 3501, 3546, 3735, 3924, 3969, 4023, 4068, 4212, 4257, 4401, 4446, 4635, 4824, 4869, 5112, 5157, 5301

Offset

1,2

Comments

All terms are multiples of 9.

Links

Jens Kruse Andersen, Table of n, a(n) for n = 1..10000

Maple

filter:= proc(n) local L, LP;
  L:= convert(n, base, 10);
  LP:= convert(n+convert(L, `+`), base, 10);
  sort(L) = sort(LP)
end proc:
select(filter, [$0..10000]); # Robert Israel, Aug 31 2014

Prog

(PARI)
for(n=0, 10^4, if(vecsort(digits(n+sumdigits(n)))==vecsort(digits(n)), print1(n, ", ")))

Crossrefs

Cf. A007953, A062028.

Sequence in context: A251451 A251444 A169717 * A172118 A127073 A089549

Adjacent sequences: A246417 A246418 A246419 * A246421 A246422 A246423

Keyword

nonn,base,easy

Author

Derek Orr, Aug 25 2014

Status

approved