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A256083 Non-palindromic balanced numbers in base 3. 2

%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 Non-palindromic 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 base-3 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 base-3 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,i-o)*d~)&&d!=Vecrev(d)

%Y Cf. A256082 - A256089, A256075, A256080.

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Mar 14 2015

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Last modified January 21 10:25 EST 2022. Contains 350477 sequences. (Running on oeis4.)