A226468 Numbers in which each digit equals the sum (mod 10) of the other digits.

11, 22, 33, 44, 55, 66, 77, 88, 99, 505, 550, 5005, 5050, 5500, 5555, 50005, 50050, 50500, 50555, 55000, 55055, 55505, 55550, 500005, 500050, 500500, 500555, 505000, 505055, 505505, 505550, 550000, 550055, 550505, 550550, 555005, 555050, 555500, 555555, 1111116

Offset

1,1

Comments

The primitive terms in this sequence are 11, 22, 33, 44, 55, 66, 77, 88, 99, 505, 5005, 5555, 50005, 50555, 500005, 500555, 555555, 1111116, 1111666, 1166666, 2222222, 2222277, ...; the other terms are built from the permutations of the digits of these numbers.

We find the following subsequences:

505, 5005, 50005, 500005, ..., 5000000005;

55, 5555, 555555, 55555555, ..., 5555555555.

Links

Table of n, a(n) for n=1..40.

Example

505 is in the sequence because the digits 5,0,5 satisfy
  5 = (0 + 5) mod 10;
  0 = (5 + 5) mod 10;
  5 = (5 + 0) mod 10.

Mathematica

Select[Range[10^5], IntegerDigits[#] == Mod[Total[IntegerDigits[#]] - IntegerDigits[#], 10] &]

Crossrefs

Cf. A007953, A053837.

Sequence in context: A083852 A306689 A241899 * A283871 A240927 A272655

Adjacent sequences: A226465 A226466 A226467 * A226469 A226470 A226471

Keyword

nonn,base

Author

Michel Lagneau, Jun 08 2013

Extensions

Edited by Jon E. Schoenfield, Sep 09 2017

Status

approved