

A135739


Numbers n such that n+reverse(n) has only odd decimal digits (n not a multiple of 10).


1



12, 14, 16, 18, 21, 23, 25, 27, 32, 34, 36, 41, 43, 45, 52, 54, 61, 63, 72, 81, 209, 219, 229, 239, 249, 308, 318, 328, 338, 348, 407, 409, 417, 419, 427, 429, 437, 439, 447, 449, 506, 508, 516, 518, 526, 528, 536, 538, 546, 548, 605, 607, 609, 615, 617, 619
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OFFSET

1,1


COMMENTS

Obviously n is in the sequence iff reverse(n) is in the sequence.


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..10000
Project Euler, Problem 145: How many reversible numbers are there below onebillion?


EXAMPLE

409 + 904 = 1313 has only odd digits, so 409 and 904 are in the sequence.


MATHEMATICA

odQ[n_]:=Module[{t=Count[IntegerDigits[n+FromDigits[Reverse[IntegerDigits[n]]]], _?EvenQ]}, t==0&&!Divisible[n, 10]]; Select[Range[700], odQ] (* Harvey P. Dale, Feb 20 2013 *)


PROG

(PARI) reverse(n, m)=n=[n]; while(n=divrem(n[1], 10), m=10*m+n[2]); m odd=Vec("13579"); for(i=1, 999, i%10&!setminus(Set(Vec(Str(i+reverse(i)))), odd)&print1(i", "))


CROSSREFS

Sequence in context: A043701 A290001 A080693 * A096923 A141642 A163622
Adjacent sequences: A135736 A135737 A135738 * A135740 A135741 A135742


KEYWORD

base,easy,nonn


AUTHOR

M. F. Hasler, Dec 01 2007, Dec 05 2007


STATUS

approved



