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A208216 Number of ways of making change for n cents using coins of 1, 5, 10, and 25 cents, where each coin that appears is used a different number of times. 3
1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 8, 7, 6, 8, 7, 12, 9, 11, 11, 12, 14, 14, 15, 14, 14, 20, 16, 18, 18, 20, 25, 24, 23, 24, 24, 32, 27, 30, 31, 30, 39, 38, 36, 39, 37, 47, 43, 47, 45, 48, 55, 53, 53, 56, 57, 69, 61, 65, 65, 67, 78, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Doron Zeilberger, Using Generatingfunctionology to enumerate distinct-multiplicity partitions.

EXAMPLE

For n=6 the a(6)=1 solution is six copies of the 1-cent coin. (Taking one 1-cent coin and one 5-cent coin is not allowed, as those two coins have the same nonzero multiplicity.)

MAPLE

# for a g.f. in Maple format see the Doron Zeilberger link.

CROSSREFS

Cf. A001299, A208217.

Sequence in context: A163822 A029203 A159805 * A208217 A009213 A072209

Adjacent sequences:  A208213 A208214 A208215 * A208217 A208218 A208219

KEYWORD

nonn

AUTHOR

Matthew C. Russell, Apr 24 2012

STATUS

approved

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Last modified January 23 04:16 EST 2020. Contains 331168 sequences. (Running on oeis4.)