

A230641


a(n) = n + (sum of digits in base3 representation of n).


13



0, 2, 4, 4, 6, 8, 8, 10, 12, 10, 12, 14, 14, 16, 18, 18, 20, 22, 20, 22, 24, 24, 26, 28, 28, 30, 32, 28, 30, 32, 32, 34, 36, 36, 38, 40, 38, 40, 42, 42, 44, 46, 46, 48, 50, 48, 50, 52, 52, 54, 56, 56, 58, 60, 56, 58, 60, 60, 62, 64, 64, 66, 68, 66, 68, 70, 70, 72, 74, 74, 76, 78, 76, 78, 80, 80, 82, 84, 84, 86, 88, 82
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OFFSET

0,2


COMMENTS

The image of this sequence is the set of nonnegative even numbers (A005843). Joshi (1973) proved that the sequence of baseq 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. 384386.


LINKS

Donovan Johnson, Table of n, a(n) for n = 0..10000
Index entries for Colombian or self numbers and related sequences


FORMULA

a(n) = n + A053735(n).  Amiram Eldar, Nov 28 2020


MATHEMATICA

Table[n + Plus @@ IntegerDigits[n, 3], {n, 0, 100}] (* Amiram Eldar, Nov 28 2020 *)


PROG

(Haskell)
a230641 n = a053735 n + n  Reinhard Zumkeller, May 19 2015


CROSSREFS

Related base3 sequences: A053735, A134451, A230641, A230642, A230643, A230853, A230854, A230855, A230856, A230639, A230640, A010063 (trajectory of 1)
Cf. A228088, A010061, A230091, A230092, A227915.
Sequence in context: A159634 A186690 A002131 * A063200 A063224 A023847
Adjacent sequences: A230638 A230639 A230640 * A230642 A230643 A230644


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, Oct 31 2013


STATUS

approved



