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A114138 Number of (ordered) sequences of coins (each of which has value 1, 2, 5, 10, 20, 50, 100 or 200) which add to n. 2
1, 1, 2, 3, 5, 9, 15, 26, 44, 75, 129, 220, 377, 644, 1101, 1883, 3219, 5505, 9412, 16093, 27518, 47051, 80453, 137563, 235215, 402188, 687688, 1175860, 2010567, 3437810, 5878212, 10050981, 17185883, 29385638, 50245647, 85913568, 146901103, 251181919 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Based on Euro coins as of Feb 22 2006.

LINKS

Table of n, a(n) for n=0..37.

FORMULA

G.f.: 1/(1-(x+x^2+x^5+x^10+x^20+x^50+x^100+x^200)).

MATHEMATICA

CoefficientList[Series[1/(1-(x+x^2+x^5+x^10+x^20+x^50+x^100+x^200)), {x, 0, 50}], x] (* Harvey P. Dale, Nov 18 2013 *)

CROSSREFS

Cf. A114044, A073031, A114140.

Sequence in context: A114623 A079971 A073031 * A114140 A302018 A096816

Adjacent sequences:  A114135 A114136 A114137 * A114139 A114140 A114141

KEYWORD

nonn

AUTHOR

David S. Johnson and N. J. A. Sloane, Feb 22 2006

STATUS

approved

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Last modified August 20 09:56 EDT 2019. Contains 326143 sequences. (Running on oeis4.)