

A071242


Arithmetic mean of n and R(n) where n is a number such that the least significant digit and the most significant digits are of same parity and R(n) is its digit reversal (A004086).


2



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 11, 22, 33, 44, 55, 22, 33, 44, 55, 66, 22, 33, 44, 55, 66, 33, 44, 55, 66, 77, 33, 44, 55, 66, 77, 44, 55, 66, 77, 88, 44, 55, 66, 77, 88, 55, 66, 77, 88, 99, 101, 202, 303, 404, 505, 111, 212, 313, 414, 515, 121
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OFFSET

0,3


LINKS



FORMULA

{n + R(n)}/2 for all n which yield integers.


MAPLE

reversal := proc(n) local i, len, new, temp: new := 0: temp := n: len := floor(log[10](n+.1))+1: for i from 1 to len do new := new+irem(temp, 10)*10^(leni): temp := floor(temp/10): od: RETURN(new): end: for n from 0 to 500 do if type((n+reversal(n))/2, integer) then printf(`%d, `, (n+reversal(n))/2) fi: od: # James A. Sellers, May 28 2002


CROSSREFS



KEYWORD

base,nonn


AUTHOR



EXTENSIONS



STATUS

approved



