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A256086 Non-palindromic balanced numbers in base 6. 1
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 (list; graph; refs; listen; history; text; internal format)
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
PROG
(PARI) is(n, b=6, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&d!=Vecrev(d)
CROSSREFS
Sequence in context: A264069 A269548 A264021 * A186897 A184450 A338391
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, Mar 14 2015
STATUS
approved

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Last modified March 2 20:47 EST 2024. Contains 370498 sequences. (Running on oeis4.)