%I
%S 1,0,22,33,44,55,66,77,88,99,1111,1,2552,1,2662,3443,2772,1,2882,
%T 1,2992,3663,1,1,3773,5445,1,3883,4664,1,3993,1,4774,1,1,5665,
%U 4884,1,1,1,4994,1,6666,1,1,5885,1,1,6776,7667,5995,1,1,1,6886
%N a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or 1 if no such number exists.
%C The negative terms are conjectural. Moreover they have a rather low degree of confirmation, since due to the timeconsuming computations only numbers from 0 to 65000 have been taken into account. Random tests of larger numbers however seem to indicate, that only selected values of n occur.  In the cognate sequence A071266 two numbers a and b are counted only once, if n = a + b, a = reverse(b), b = reverse(a). Then 33 = 12 + 21 = 30 + 03 has a count of 2 and 44 = 13 + 31 = 22 + 22 = 40 + 04 has a count of 3, so 44 appears in A071266 instead of 33.
%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>
%e a(0) = 1, since 1 can in no way be written as k + reverse(k); a(1) = 0, since 0 = k + reverse(k) for k = 0; a(3) = 33, since 33 = k + reverse(k) for k = 12, 21 and 30.
%Y Cf. A067030, A071266, A072040.
%K base,sign
%O 0,3
%A _Klaus Brockhaus_, Jun 08 2002
