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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. 4
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; refs; listen; history; text; internal format)
OFFSET
0,6
COMMENTS
Based on US coins as of Feb 22 2006.
a(n) is the number of compositions (ordered partitions) of n into parts 1, 5, 10, 25, 50, and 100. - Joerg Arndt, Apr 19 2017
LINKS
FORMULA
G.f.: 1/(1-(x + x^5 + x^10 + x^25 + x^50 + x^100)).
MATHEMATICA
CoefficientList[Series[1/(1 - (x + x^5 + x^10 + x^25 + x^50 + x^100)), {x, 0, 50}], x] (* Wesley Ivan Hurt, Apr 18 2017 *)
CROSSREFS
Sequence in context: A200445 A255362 A017833 * A351724 A113444 A228669
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)