A018283 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A018283

Divisors of 100.

1, 2, 4, 5, 10, 20, 25, 50, 100

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

From Alonso del Arte, Oct 10 2017: (Start)

There are just three ways to partition 100 into its distinct divisors: 100 = 50 + 25 + 20 + 5 = 50 + 25 + 20 + 4 + 1 (see A033630).

However, it's not possible to exchange a United States 1-dollar coin for smaller coins of distinct denominations in current circulation since there are no 4- or 20-cent coins (see A112024).

Nor is it possible to exchange a 100-dollar bill for smaller bills of distinct denominations as there are no 4- or 25-dollar bills (see A124146). (End)

LINKS

Table of n, a(n) for n=1..9.

Index entries for sequences related to divisors of numbers

FORMULA

a(n) = 2^((n-1) mod 3)*5^floor((n-1)/3). - Aaron J Grech, Aug 11 2024

MATHEMATICA

Divisors[100] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2012 *)

PROG

(Sage) divisors(100); # Zerinvary Lajos, Jun 13 2009

(PARI) divisors(100)

CROSSREFS

This sequence is row n = 100 of A027750.