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On the number of numbers with a given digit sum.
Scientia Magna
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January 1, 2005|
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COPYRIGHT 2005 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group.
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Abstract We consider the sum of digits function which maps an integer to the sum of it's digits, for example 142 is mapped to 1 + 4 + 2 = 7. This papers examines the question of how many other integers are mapped to a given digit in the range 1 to [10.sup.z].
[section] 1. Introduction
To begin with, we need a sum of digits function [1]. The code in this paper has been written in Pari/GP [2].
x is used to determine the number of digits of n, and d is used to store the cumulative sum of the digits, which are extracted by considering the last digit, ...
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