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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

%I #6 Nov 18 2013 16:53:29

%S 1,1,2,3,5,9,15,26,44,75,129,220,377,644,1101,1883,3219,5505,9412,

%T 16093,27518,47051,80453,137563,235215,402188,687688,1175860,2010567,

%U 3437810,5878212,10050981,17185883,29385638,50245647,85913568,146901103,251181919

%N Number of (ordered) sequences of coins (each of which has value 1, 2, 5, 10, 20, 50, 100 or 200) which add to n.

%C Based on Euro coins as of Feb 22 2006.

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

%t 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 *)

%Y Cf. A114044, A073031, A114140.

%K nonn

%O 0,3

%A _David S. Johnson_ and _N. J. A. Sloane_, Feb 22 2006

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)