A056962 Base 16 reversal of n (written in base 10).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 2, 18, 34, 50, 66, 82, 98, 114, 130, 146, 162, 178, 194, 210, 226, 242, 3, 19, 35, 51, 67, 83, 99, 115, 131, 147, 163, 179, 195, 211, 227, 243, 4

Offset

0,3

Links

Table of n, a(n) for n=0..64.

Formula

n = a(n) if n is palindromic in base 16 (see A029730),

Example

a(17) = 17 because 17 in hexadecimal is 11, the same as its reverse.
a(18) = 33 because 18 in hexadecimal is 12, and hexadecimal 21 is 2 * 16 + 1 = 33.
a(19) = 49 because 19 in hexadecimal is 13, and hexadecimal 31 is 3 * 16 + 1 = 49.

Mathematica

Table[FromDigits[Reverse[IntegerDigits[n, 16]], 16], {n, 0, 127}] (* Alonso del Arte, Sep 30 2018 *)

Prog

(PARI) a(n) = fromdigits(Vecrev(digits(n, 16)), 16); \\ Michel Marcus, Sep 30 2018
(Scala) (0 to 127).map(n => java.lang.Integer.parseInt(java.lang.Integer.toHexString(n).reverse, 16)) // Alonso del Arte, Mar 23 2026

Crossrefs

Cf. A004086 (base 10 reversal), A030101-A030108 (base 2 to base 9 reversals of n), A056960 (base 11 reversal), A056961 (base 12 reversal), A056963 (base 20 reversal).

Cf. A029730, base 16 palindromes.

Sequence in context: A385007 A053165 A383764 * A043275 A216455 A338782

Adjacent sequences: A056959 A056960 A056961 * A056963 A056964 A056965

Keyword

base,nonn,easy

Author

Henry Bottomley, Jul 18 2000

Status

approved