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A114140 Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) 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; internal format)
OFFSET

0,3

COMMENTS

Equivalently, number of sequences of coins (each of which has value 5, 10, 25, 50 or 100) which add to 5n.

Based on "silver" US coins as of Feb 22 2006.

FORMULA

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

CROSSREFS

Cf. A114044, A073031, A114138.

Sequence in context: A079971 A073031 A114138 * A096816 A018157 A003065

Adjacent sequences:  A114137 A114138 A114139 * A114141 A114142 A114143

KEYWORD

nonn

AUTHOR

David S. Johnson (dsj(AT)research.att.com) and N. J. A. Sloane (njas(AT)research.att.com), Feb 22 2006

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Last modified February 15 18:53 EST 2012. Contains 205844 sequences.