The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A182086 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A182086

Number of ways of making change for n Pfennig using Deutschmark coins.
(history; published version)

#16 by Ray Chandler at Mon Nov 27 17:40:37 EST 2023

STATUS

editing

approved

#15 by Ray Chandler at Mon Nov 27 17:40:34 EST 2023

LINKS

<a href="/index/Rec#order_868">Index entries for linear recurrences with constant coefficients</a>, order 868.

STATUS

approved

editing

#14 by Bruno Berselli at Mon Aug 21 03:14:32 EDT 2017

STATUS

reviewed

approved

#13 by Michel Marcus at Mon Aug 21 01:14:01 EDT 2017

STATUS

proposed

reviewed

#12 by Jon E. Schoenfield at Sun Aug 20 23:24:22 EDT 2017

STATUS

editing

proposed

#11 by Jon E. Schoenfield at Sun Aug 20 23:24:19 EDT 2017

COMMENTS

The Pfennig was the subunit of the Deutsche Mark, the currency of Germany until the adoption of the Euro in 2002; the coins were (business strike): 1 Pfg, 2 Pfg, 5 Pfg, 10 Pfg, 50 Pfg, 1 DM = 100 Pfg, 2 DM and 5 DM;

CROSSREFS

Cf. A082593, A001364, A067996, A082593.

STATUS

proposed

editing

#10 by G. C. Greubel at Sun Aug 20 23:16:55 EDT 2017

STATUS

editing

proposed

#9 by G. C. Greubel at Sun Aug 20 23:16:44 EDT 2017

COMMENTS

Number of partitions of n into parts 1, 2, 5, 10, 50, 100, 200, and 500. [_- _Joerg Arndt_, Jul 08 2013]

LINKS

G. C. Greubel, <a href="/A182086/b182086.txt">Table of n, a(n) for n = 0..1000</a>

FORMULA

G.f.: 1/((1-x)*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^50)*(1-x^100)*(1-x^200)*(1-x^500)). [_- _Joerg Arndt_, Jul 08 2013]

MATHEMATICA

CoefficientList[Series[1/((1 - x)*(1 - x^2)*(1 - x^5)*(1 - x^10)*(1 - x^50)*(1 - x^100)*(1 - x^200)*(1 - x^500)), {x, 0, 50}], x] (* G. C. Greubel, Aug 20 2017 *)

STATUS

approved

editing

#8 by Joerg Arndt at Mon Jul 08 12:34:18 EDT 2013

STATUS

editing

approved

#7 by Joerg Arndt at Mon Jul 08 12:33:57 EDT 2013

COMMENTS

Number of partitions of n into parts 1, 2, 5, 10, 50, 100, 200, and 500. [Joerg Arndt, Jul 08 2013]

FORMULA

G.f.: 1/((1-x)*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^50)*(1-x^100)*(1-x^200)*(1-x^500)). [Joerg Arndt, Jul 08 2013]

PROG

(PARI) Vec(1/((1-x)*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^50)*(1-x^100)*(1-x^200)*(1-x^500))+O(x^566)) \\ Joerg Arndt, Jul 08 2013

STATUS

approved

editing