A256086 Non-palindromic balanced numbers in base 6.

234, 276, 318, 326, 368, 410, 451, 493, 535, 543, 585, 627, 668, 710, 752, 760, 802, 844, 885, 927, 969, 977, 1019, 1061, 1102, 1144, 1186, 1308, 1344, 1380, 1416, 1452, 1488, 1530, 1566, 1602, 1638, 1674, 1710, 1730, 1752, 1766, 1788, 1802, 1824, 1838, 1860, 1874, 1896, 1910, 1932, 1952, 1974, 1988

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 (A029953) are trivially balanced, they are excluded here.

This is the base-6 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..54.

Prog

(PARI) is(n, b=6, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&d!=Vecrev(d)

Crossrefs

Cf. A256082 - A256089, A256075, A256076, A256080, A029953.

Sequence in context: A264069 A269548 A264021 * A186897 A184450 A338391

Adjacent sequences: A256083 A256084 A256085 * A256087 A256088 A256089

Keyword

nonn,base

Author

M. F. Hasler, Mar 14 2015

Status

approved