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A256089 Non-palindromic balanced numbers in base 9. 11

%I #5 Mar 15 2015 01:36:09

%S 756,846,936,974,1026,1064,1116,1154,1206,1218,1244,1308,1334,1398,

%T 1424,1486,1512,1576,1602,1666,1692,1704,1756,1794,1846,1884,1936,

%U 1948,1974,2038,2064,2128,2154,2216,2242,2306,2332,2396,2422,2434,2486,2524,2576,2614,2666,2678,2704,2768,2794,2858,2884,2946,2972

%N Non-palindromic balanced numbers in base 9.

%C Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. Since palindromes (A029955) are trivially balanced, they are excluded here.

%C This is the base-9 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=9,d=digits(n,b),o=(#d+1)/2)=!(vector(#d,i,i-o)*d~)&&d!=Vecrev(d)

%Y Cf. A256082 - A256088, A256075, A256080, A029955.

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Mar 14 2015

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)