A230631 a(n) = n + (sum of digits in base-4 representation of n).

0, 2, 4, 6, 5, 7, 9, 11, 10, 12, 14, 16, 15, 17, 19, 21, 17, 19, 21, 23, 22, 24, 26, 28, 27, 29, 31, 33, 32, 34, 36, 38, 34, 36, 38, 40, 39, 41, 43, 45, 44, 46, 48, 50, 49, 51, 53, 55, 51, 53, 55, 57, 56, 58, 60, 62, 61, 63, 65, 67, 66, 68, 70, 72, 65, 67, 69, 71, 70, 72, 74, 76, 75, 77, 79, 81, 80, 82, 84, 86, 82

Offset: 0

Author

N. J. A. Sloane, Oct 30 2013

Keywords

• nonn
• base

Links

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

Crossrefs

Cf. A010064 (missing numbers), A230632 (number of inverses), A230633-A230635.

Related base-4 sequences: A053737, A230632, A010064, A230633, A230634, A230635, A230636, A230637, A230638, A010065 (trajectory of 1)

Programs

Haskell

a230631 n = a053737 n + n  -- Reinhard Zumkeller, Mar 20 2015

PARI

apply( {A230631(n)=n+sumdigits(n,4)}, [0..99]) \\ M. F. Hasler, Oct 30 2024

Formula

a(n) = A053737(n) + n. - Reinhard Zumkeller, Mar 20 2015