%I
%S 87,96,105,137,146,155,169,178,187,264,276,312,348,380,416,452,464,
%T 508,520,556,592,741,768,795,816,831,843,858,870,885,895,906,922,933,
%U 949,960,987,991,1014,1018,1041,1045,1055,1077,1082,1104,1109,1131,1141,1145,1168,1172,1195,1199,1226,1237,1253,1264,1280,1291,1301
%N Nonpalindromic balanced numbers in base 3.
%C Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero.
%C This is the base3 variant of the decimal version A256075 invented by Eric Angelini.
%C All balanced numbers with less than 4 digits are palindromic, and since there is no digit 3 in base 3, there cannot be a term in this sequence with 4 base3 digits, where weights are (3/2, 1/2, 1/2, 3/2).
%e a(4) = 137 = 12002[3] is balanced because 1*2 + 2*1 = 0*1 + 2*2.
%o (PARI) is(n,b=3,d=digits(n,b),o=(#d+1)/2)=!(vector(#d,i,io)*d~)&&d!=Vecrev(d)
%Y Cf. A256082  A256089, A256075, A256080.
%K nonn,base
%O 1,1
%A _M. F. Hasler_, Mar 14 2015
