

A097151


Digits of balanced base10 representations of nonnegative integers (least significant digits first).


1



0, 1, 2, 3, 4, 5, 1, 4, 1, 3, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 2, 4, 2, 3, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 2, 4, 1, 4, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 5, 5, 1, 4, 5, 1, 3, 5, 1, 2, 5, 1, 1, 5, 1, 0, 5, 1, 1, 5, 1, 2, 5, 1, 3, 5, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

Definition 9.1.2. of the CrandallPomerance book is: "The balanced baseB representation of a nonnegative integer x is the shortest sequence of integer digits (x_i) such that each digit satisfies floor(B/2) <= x_i <= floor((B1)/2) and x = sum(i=0,D1,x_i*B^i)." (I have replaced floor and sigma symbols with "floor" and "sum" for inclusion here.) The D digits x_0, x_1, x_2, ..., x_(D1) are included in this order in this sequence and in the opposite order in A097150.


REFERENCES

R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001; see p. 408.


LINKS

Table of n, a(n) for n=1..112.


EXAMPLE

As the only digits permissible are in {5,4,3,2,1,0,1,2,3,4},
5 = 5 + 1*10 is the first number requiring two of these digits: 5,1.
A097150 is the same sequence but with the digits in reverse order.
Also, 45 = 5  5*10 + 1*10^2 has digits 5,5,1,
54 = 4  5*10 + 1*10^2 has digits 4,5,1 and
55 = 5  4*10 + 1*10^2 has digits 5,4,1.


CROSSREFS

Cf. A097150 (most significant digits first).
Sequence in context: A327463 A279478 A050269 * A306620 A071500 A071516
Adjacent sequences: A097148 A097149 A097150 * A097152 A097153 A097154


KEYWORD

base,easy,sign


AUTHOR

Rick L. Shepherd, Jul 27 2004


STATUS

approved



