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A114044 Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n. +0
3
1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 9, 13, 18, 24, 31, 42, 58, 80, 109, 146, 197, 268, 366, 499, 676, 916, 1243, 1690, 2299, 3122, 4237, 5751, 7811, 10614, 14418, 19580, 26587, 36106, 49043, 66614, 90473, 122869, 166866, 226632, 307810, 418060, 567784, 771122, 1047296, 1422396 (list; graph; listen)
OFFSET

0,6

COMMENT

Based on US coins as of Feb 22 2006.

FORMULA

G.f.: 1/(1-(x+x^5+x^10+x^25+x^50+x^100)).

CROSSREFS

Cf. A114138, A073031, A114140.

Sequence in context: A018123 A105859 A017833 this_sequence A113444 A076299 A136683

Adjacent sequences: A114041 A114042 A114043 this_sequence A114045 A114046 A114047

KEYWORD

nonn

AUTHOR

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

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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