|
|
A000433
|
|
n written in base where place values are positive cubes.
|
|
5
|
|
|
0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 100, 101, 102, 103, 104, 105, 106, 107, 110, 111, 112, 113, 114, 115, 116, 117, 120, 121, 122, 123, 124, 125, 126, 127, 130, 131, 132, 200, 201, 202, 203
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
Let [d1, d2, d3, ...] be the decimal expansion of the n-th term, then dk is the number of times that the greedy algorithm subtracts the cube k^3 with input n. - Joerg Arndt, Nov 21 2014
The rightmost (least significant) digit never exceeds 7, the second digit from the right never exceeds 3, the third digit never exceeds 2, and the rest are just 0's and 1's. - Ivan Neretin, Sep 03 2015
|
|
REFERENCES
|
Florentin Smarandache, "Properties of the Numbers", University of Craiova Archives, 1975; Arizona State University Special Collections, Tempe, AZ.
|
|
LINKS
|
|
|
EXAMPLE
|
a(26) = 32 because 26 = 3 * 2^3 + 2 * 1^3.
a(27) = 100 because 27 = 3^3 + 0 * 2^3 + 0 * 1^3.
a(28) = 101 because 28 = 3^3 + 0 * 2^3 + 1 * 1^3.
|
|
PROG
|
(Haskell)
import Data.Char (intToDigit)
a000433 0 = 0
a000433 n = read $ map intToDigit $
t n $ reverse $ takeWhile (<= n) $ tail a000578_list where
t _ [] = []
t m (x:xs)
| x > m = 0 : t m xs
| otherwise = (fromInteger m') : t r xs where (m', r) = divMod m x
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
R. Muller
|
|
STATUS
|
approved
|
|
|
|