A358012 - 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

A358012

Minimal number of coins needed to pay n cents using coins of denominations 1 and 5 cents.

0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 9, 10, 11, 12, 13, 10, 11, 12, 13, 14, 11, 12, 13, 14, 15, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 14, 15, 16, 17, 18, 15, 16

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

OFFSET

0,3

COMMENTS

Sequence consists of runs of five consecutive integers: 0..4, 1..5, 2..6, 3..7, etc.

LINKS

Table of n, a(n) for n=0..76.

Index entries for sequences related to making change.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

FORMULA

Sum of quotient and remainder of n/5.

a(n) = A002266(n) + A010874(n).