Voozh

A269130

a(n) = n + (n base 2 regarded as a decimal number).

0, 2, 12, 14, 104, 106, 116, 118, 1008, 1010, 1020, 1022, 1112, 1114, 1124, 1126, 10016, 10018, 10028, 10030, 10120, 10122, 10132, 10134, 11024, 11026, 11036, 11038, 11128, 11130, 11140, 11142, 100032, 100034, 100044, 100046, 100136, 100138, 100148, 100150, 101040

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

All terms in this sequence are even, because every even number produces an even binary number (ends with 0) and every odd number produces an odd binary number (ends with 1).

LINKS

Isaac S. Friedman, Table of n, a(n) for n = 0..999

FORMULA

a(n) = A007088(n) + n.

EXAMPLE

a(4) = convert_to_binary(4) + 4 = 100 + 4 = 104.

MATHEMATICA

Table[n+FromDigits[IntegerDigits[n, 2]], {n, 0, 40}] (* Harvey P. Dale, Jul 08 2019 *)

PROG

(PARI) a(n)=fromdigits(binary(n))+n \\ Charles R Greathouse IV, Feb 19 2016

(PARI) a(n) = subst(Pol(binary(n)), x, 10) + n \\ Michel Marcus, Feb 20 2016

CROSSREFS