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Non-palindromic balanced numbers in base 5.
1

%I #5 Mar 15 2015 01:35:35

%S 140,170,202,232,266,296,328,358,392,422,454,484,518,548,635,660,685,

%T 710,735,765,790,815,840,865,877,895,902,920,927,945,952,970,977,995,

%U 1007,1032,1057,1082,1107,1128,1137,1153,1162,1178,1187,1203,1212,1228,1237,1261,1270,1286,1295,1311,1320,1336,1345,1361,1370

%N Non-palindromic balanced numbers in base 5.

%C Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. Since palindromes (A029952) are trivially balanced, they are excluded here.

%C This is the base-5 variant of the decimal version A256075 invented by Eric Angelini. See there, and the base-2 version A256082, for further information and examples.

%o (PARI) is(n,b=5,d=digits(n,b),o=(#d+1)/2)=!(vector(#d,i,i-o)*d~)&&d!=Vecrev(d)

%Y Cf. A256082 - A256089, A256075, A256080, A029952.

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Mar 14 2015