A230865 a(n) = n + (sum of digits in base-5 representation of n).

0, 2, 4, 6, 8, 6, 8, 10, 12, 14, 12, 14, 16, 18, 20, 18, 20, 22, 24, 26, 24, 26, 28, 30, 32, 26, 28, 30, 32, 34, 32, 34, 36, 38, 40, 38, 40, 42, 44, 46, 44, 46, 48, 50, 52, 50, 52, 54, 56, 58, 52, 54, 56, 58, 60, 58, 60, 62, 64, 66, 64, 66, 68, 70, 72, 70, 72, 74, 76, 78, 76, 78, 80, 82, 84, 78, 80, 82, 84, 86, 84

Offset

0,2

Comments

The image of this sequence is the set of nonnegative even numbers (A005843). Joshi (1973) proved that the sequence of base-q self numbers (analogous to A003052) is the sequence of odd numbers (A005408) for all odd q. - Amiram Eldar, Nov 28 2020

References

V. S. Joshi, Ph.D. dissertation, Gujarat Univ., Ahmedabad (India), October, 1973.

József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, Chapter 4, p. 384-386.

Links

Donovan Johnson, Table of n, a(n) for n = 0..10000

Formula

a(n) = n + A053824(n). - Amiram Eldar, Nov 28 2020

Mathematica

Table[n + Plus @@ IntegerDigits[n, 5], {n, 0, 100}] (* Amiram Eldar, Nov 28 2020 *)

Crossrefs

Cf. A053824, A230641.

Sequence in context: A299479 A185361 A245186 * A178699 A355311 A299477

Adjacent sequences: A230862 A230863 A230864 * A230866 A230867 A230868

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 05 2013

Status

approved