A256088 Non-palindromic balanced numbers in base 8.

536, 608, 680, 706, 752, 778, 824, 850, 899, 922, 971, 994, 1049, 1072, 1121, 1144, 1193, 1219, 1265, 1291, 1337, 1363, 1412, 1435, 1484, 1507, 1562, 1585, 1634, 1657, 1706, 1732, 1778, 1804, 1850, 1876, 1925, 1948, 1997

Offset

1,1

Comments

Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. Since palindromes (A029803) are trivially balanced, they are excluded here.

This is the base-8 variant of the decimal version A256075 invented by Eric Angelini. See there, and the base-2 version A256082, for further information and examples.

Links

Table of n, a(n) for n=1..39.

Prog

(PARI) is(n, b=8, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&&d!=Vecrev(d)

Crossrefs

Cf. A256082 - A256089, A256075, A256080, A029803.

Sequence in context: A067723 A252275 A059949 * A250709 A077076 A033916

Adjacent sequences: A256085 A256086 A256087 * A256089 A256090 A256091

Keyword

nonn,base

Author

M. F. Hasler, Mar 14 2015

Status

approved