A124437 Experience Points thresholds for levels in the pen and paper role-playing game "Das Schwarze Auge" (DSA, a.k.a. "The Dark Eye").

0, 100, 300, 600, 1000, 1500, 2100, 2800, 3600, 4500, 5500, 6600, 7800, 9100, 10500, 12000, 13600, 15300, 17100, 19000, 21000, 23100, 25300, 27600, 30000, 32500, 35100, 37800, 40600, 43500, 46500, 49600, 52800, 56100, 59500, 63000, 66600

Offset

1,2

References

"Das Schwarze Auge - Basisregelwerk" (basic rule book), Fantasy Productions Verlags- und Medienvertriebsgesellschaft mbH, Erkrath, Germany, 2005, ISBN 3890644406

Links

Table of n, a(n) for n=1..37.

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = a(n-1) + (n-1)*100; a(1) = 0.

From Chai Wah Wu, Jul 11 2016: (Start)

a(n) = 50*n*(n-1).

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 3.

G.f.: 100*x^2/(1 - x)^3. (End)

Example

a(7)=2100 because a(6) + (7-1)*100 = (a(5) + 500) + 600 =(((((0+100) + 200) + 300) + 400) + 500) + 600.

Mathematica

Table[50 n (n - 1), {n, 37}] (* or *)
CoefficientList[Series[100 x^2/(1 - x)^3, {x, 0, 37}], x] (* Michael De Vlieger, Jul 11 2016 *)
LinearRecurrence[{3, -3, 1}, {0, 100, 300}, 40] (* Harvey P. Dale, Jun 26 2017 *)

Prog

(C) int folge(n){ if (n==1) return 0; return (folge(n-1)+(n-1)*100); }
(PARI) a(n)=50*n*(n-1) \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A261276 A104908 A109633 * A349181 A138668 A017174

Adjacent sequences: A124434 A124435 A124436 * A124438 A124439 A124440

Keyword

easy,nonn

Author

Christoph D. Schmidt (snu(AT)power.ms), Dec 16 2006, Dec 21 2006

Status

approved